{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 特征数据预处理-标准化与归一化"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 标准化"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "同样我们都需要对原始数据进行处理，少不了的就是 **standardization** (或者叫做 **Z-score normalization**) \n",
    "\n",
    "要求 均值$\\mu = 0$ 和标准差 $\\sigma = 1$\n",
    "\n",
    "转换公式如下：\n",
    "\\begin{equation} z = \\frac{x - \\mu}{\\sigma}\\end{equation} \n",
    "\n",
    "这个意义是十分重大的，想象一下，我们经常通过梯度下降来进行优化求解，公式一般如下，如果特征之间的数值差异太大，那么更新的结果肯定也会产生较大的差异，这是我们所不希望的。在最开始的时候，我们认为特征之间的重要程度的是一样，并不想偏袒哪个特征，所以这部预处理工作必做！\n",
    "\n",
    "$$\\Delta w_j = - \\eta \\frac{\\partial J}{\\partial w_j} = \\eta \\sum_i (t^{(i)} - o^{(i)})x^{(i)}_{j},$$\n",
    "\n",
    "参数更新： \n",
    "\n",
    "$$w_j := w_j + \\Delta w_j,$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='About-Min-Max-scaling-normalization'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 归一化"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "另一种方法叫做 **Min-Max scaling** (或者叫做 \"normalization\"也就是我们常说的0-1归一化).  \n",
    "处理后的所有特征的值都会被压缩到 0到1区间上.这样做还可以抑制离群值对结果的影响.\n",
    "归一化公式如下：\n",
    "\n",
    "\\begin{equation} X_{norm} = \\frac{X - X_{min}}{X_{max}-X_{min}} \\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Standardizing 和 Normalizing的Scikit-learn实现 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Wine dataset consists of 3 different classes where each row correspond to a particular wine sample.\n",
    "\n",
    "The class labels (1, 2, 3) are listed in the first column, and the columns 2-14 correspond to 13 different attributes (features):\n",
    "\n",
    "1) Alcohol  \n",
    "2) Malic acid  \n",
    "..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Loading the wine dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Class label</th>\n",
       "      <th>Alcohol</th>\n",
       "      <th>Malic acid</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>14.23</td>\n",
       "      <td>1.71</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>13.20</td>\n",
       "      <td>1.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>13.16</td>\n",
       "      <td>2.36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>14.37</td>\n",
       "      <td>1.95</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>13.24</td>\n",
       "      <td>2.59</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Class label  Alcohol  Malic acid\n",
       "0            1    14.23        1.71\n",
       "1            1    13.20        1.78\n",
       "2            1    13.16        2.36\n",
       "3            1    14.37        1.95\n",
       "4            1    13.24        2.59"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "df = pd.read_csv(\n",
    "    '../data/wine_data.csv',  #葡萄酒数据集\n",
    "     header=None,     #用哪行当做列名，我们自己来指定\n",
    "     usecols=[0,1,2]  #返回一个子集，我们拿部分特征举例就可以了\n",
    "    )\n",
    "\n",
    "df.columns=['Class label', 'Alcohol', 'Malic acid']\n",
    "\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在数据中，Alcohol和Malic acid 衡量的标准应该是不同的，特征之间数值差异较大\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Standardization and Min-Max scaling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'df' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-1-c7b2f559b5bb>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0msklearn\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mpreprocessing\u001b[0m \u001b[1;31m#导入数据预处理模块\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      2\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0mstd_scale\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpreprocessing\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mStandardScaler\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mdf\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'Alcohol'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'Malic acid'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      4\u001b[0m \u001b[0mdf_std\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mstd_scale\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtransform\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mdf\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'Alcohol'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'Malic acid'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mNameError\u001b[0m: name 'df' is not defined"
     ]
    }
   ],
   "source": [
    "from sklearn import preprocessing #导入数据预处理模块\n",
    "#标准化处理\n",
    "std_scale = preprocessing.StandardScaler().fit(df[['Alcohol', 'Malic acid']])\n",
    "df_std = std_scale.transform(df[['Alcohol', 'Malic acid']])\n",
    "#归一化处理\n",
    "minmax_scale = preprocessing.MinMaxScaler().fit(df[['Alcohol', 'Malic acid']])\n",
    "df_minmax = minmax_scale.transform(df[['Alcohol', 'Malic acid']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean after standardization:\n",
      "Alcohol=-0.00, Malic acid=-0.00\n",
      "\n",
      "Standard deviation after standardization:\n",
      "Alcohol=1.00, Malic acid=1.00\n"
     ]
    }
   ],
   "source": [
    "#终于明白处理后的均值mean=0，std=1\n",
    "print('Mean after standardization:\\nAlcohol={:.2f}, Malic acid={:.2f}'\n",
    "      .format(df_std[:,0].mean(), df_std[:,1].mean()))\n",
    "print('\\nStandard deviation after standardization:\\nAlcohol={:.2f}, Malic acid={:.2f}'\n",
    "      .format(df_std[:,0].std(), df_std[:,1].std()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Min-value after min-max scaling:\n",
      "Alcohol=0.00, Malic acid=0.00\n",
      "\n",
      "Max-value after min-max scaling:\n",
      "Alcohol=1.00, Malic acid=1.00\n"
     ]
    }
   ],
   "source": [
    "#终于明白处理后max_value=1，min_value=0\n",
    "print('Min-value after min-max scaling:\\nAlcohol={:.2f}, Malic acid={:.2f}'\n",
    "      .format(df_minmax[:,0].min(), df_minmax[:,1].min()))\n",
    "print('\\nMax-value after min-max scaling:\\nAlcohol={:.2f}, Malic acid={:.2f}'\n",
    "      .format(df_minmax[:,0].max(), df_minmax[:,1].max()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KFEBrne6YCVtJSUncvGnfpaxChQoEBwdb09u2bUtwcDCTJ092ymthuTvjeGfi\nnXfeybSh07lzZ0wmE+PHj3f5+aVLlzLdDiGEyIr33nvP0yGIPEjqjfAGcsfCDSH+IQxpPIT1R9bz\n018/AdC6QmvaVmpLiH+Iy2V8Tb7ULV6XumTcXSfEP4Qnaj7Bwl8Xsvf8XnxNvqSkpVA1rCodqnbI\n9W3Jjlu3btG6dWu6d+/OwYMH+eCDD2jevLndjFD9+/fn2WefpWvXrjz00EP8+uuvrF+/nqJFi9qV\nVa9ePXx8fJg6dSrx8fH4+fnRunVrwsLCnNb7xx9/WNdbo0YNfH19+fLLLzl//rx1Gtng4GBmzJjB\ngAEDaNiwIVFRURQqVIhff/2VpKQk5s+fT7Vq1ahYsSIvvfQSp0+fpmDBgqxYscKtxk1ERAQTJ05k\n1KhR/Pnnn3Tq1Ing4GCOHTvGypUrGThwoN2MVUIIkVMybajIDqk3whtIw8JNYYFhRNWJ4snaTwLk\nahel5uWaU6pgKX756xcSbiRQNqQsjUo3ItQ/NNfWYcvVsy1sP3N8/95777FkyRLGjh1LcnIyPXr0\n4N1337XLN2DAAI4fP868efNYt24dLVq0YMOGDbRu3dquzPDwcObOncvkyZPp378/qampbNq0yeXU\ns2XKlCEqKoqNGzeyePFifH19qVatGsuXL6dTp07WfH379iU8PJwpU6YwceJE8uXLR7Vq1Rg6dCgA\nvr6+fPPNNwwePJgpU6bg7+9P586d+c9//uNynIbjPhg+fDhVq1ZlxowZ1ocAlilThocffpgOHbyj\n8SeEEEII4WkqtwfrehulVH0gJiYmhvr16zt9HhsbS4MGDUjv83+zhQsX0rdvX37++WfZN0KIdMnv\nqBBC5E2W32+ggdY6NrP8mZExFkIIIYQXmTp1qqdDEHmQ1BvhDaRhITJ0t9/REkIIb5OYmOjpEEQe\nJPVGeANpWIgMZWd6WCGEENmX3ix0QmRE6o3wBtKwEOnq3bs3qamp0mdaCCGEEEJkShoWQgghhBBC\niByThoUQQgjhReLi4jwdgsiDpN4IbyANCyGEEMKL9O3b19MhiDxI6o3wBtKwEEIIIbzIuHHjPB2C\nyIOk3ghvIA0LIYQQwovIhBkiO6TeCG8gDQshhBBCCCFEjknDQgghhBBCCJFj0rAQQgghvMi8efM8\nHYLIg6TeCG8gDQshhBDCi8TGxno6BJEHSb0R3kAaFsKrjBs3DpPpzlVLx/UtWLAAk8nEyZMn71gM\nruJIT59nl8BBAAAgAElEQVQ+fTCZTJhMJurUqZOrMWzbto0dO3bkapnCPe+++671uJpMJi5duuTp\nkIQHvf/++54OQeRBUm+EN5CGxb/E3r176dq1K+XLlycgIIDSpUvTtm1b3nvvPWuenTt3Mn78eK5c\nueKxOJVSKKU8tr47vf7srLdo0aIsWbKEKVOm5Nr6jxw5wjfffEOzZs1yrUzhbMSIEVy/ft0p/ZFH\nHmHx4sU8/vjjHql/QgghRG6QhsW/wI8//kjDhg3Zu3cvzzzzDO+//z4DBgzAx8eHmTNn2uWbMGEC\n8fHxHozWs3r16kVSUhJly5b1dCjpKlCgAE899RSPPvqo02fz5s0jMjKS/Pnz06FDB7vPjh07RuvW\nrTGZTNStW5fZs2dbPxs1ahSvvfbabY89M5MnT+bll19m3Lhx9O7dm6tXr3o6pCzbuHEjrVq1cvnZ\n888/z9ChQ53Sq1SpQlRUVK7fhRJCCCHuJF9PByBuv0mTJhEaGsovv/xCcHCw3WdxcXHW/2ut73Ro\nt11iYiKBgYFu51dKkT9//tsY0e3Vr18/atSoQfXq1XnnnXc4ffo0pUuXBiAiIoKNGzcSFRXF0qVL\nrcvs3LmTYsWKOdWNO+39999n69atfPfddwBMmTKFnj17snLlSo/G5a7ly5fz7bffcu3atXS70pUu\nXZoqVaqwcuVKOnXqdIcjFEIIIW4vuWNxu1y9Cr/+CuvXw44dcPasx0I5duwYNWvWdHniGBYWBsD4\n8eN55ZVXAChfvjwmkwkfHx/rCdLJkycZNGgQ1apVIzAwkLCwMLp3786JEyfsyrOMFTh69CjR0dEU\nKlSI0NBQ+vbty40bN+zybt++nYYNGxIQEEDlypX58MMPXcaf1XUfOHCAqKgoChcuTPPmzbO0Pscx\nFidOnLDr++74svXXX3/Rt29fihcvjr+/P7Vq1WL+/PlO63B3u7Nr165djBkzhvDwcD766CO7zy5c\nuEDDhg3t0mbPnk3Pnj1zNYbsmDZtGr1797a+79WrF19//TVHjhzxYFTu69atG/PnzycyMjLDfAMG\nDGDGjBl3KCqRFznebRTCHVJvhDeQOxZZkZwMFy4Y/y9aFPLlc53v0iVYuxbOnAE/P2O5336DVq2g\nevU7Fq5FuXLl2LVrF7///js1a9Z0madLly788ccfLFu2jHfffZciRYoARn9+gJ9//pldu3bx1FNP\nUbp0aY4fP87s2bN54IEH2L9/P/7+/gDW/uHdu3cnIiKCKVOmEBsby0cffUR4eDiTJ08GYN++fbRr\n145ixYoxYcIEkpOTGTduHMWKFXOKLavr7tatG1WqVGHy5MnWuzB79+51a32OYx2KFi3K4sWL7fIk\nJyfz4osvWtcLcP78eRo1aoSPjw+DBw8mLCyM7777jn79+nH16lUGDx6c5e3OrmvXrhEcHEx0dDTz\n5s1j7Nix1m3avn270ziK7du3u2wA3UmHDx/m1KlT1KhRw5pWsmRJQkJC2LRpE5UqVfJgdLkrJCSE\n0NBQ9u3bR61atTwdjvBCzz//vKdDEHmQ1BvhDaRh4a7jx2HnTjh/3nhfrBg0aQLlyzvn3b3baFRU\nqQKWq9p//QW7dkHZslCggPMy167BqVNw4waEhkLp0uk3XLLo5Zdf5tFHH6VevXrcd999NG/enNat\nW/PAAw/g62tUgVq1alG/fn2WLVtGx44dncYYREZG0qVLF7u09u3b07hxY1asWEGPHj3sPmvQoIHd\nlfi4uDjmzZtnbViMHj0aME5qS5UqBRiNG1cnWlld9z333MOiRYvs0saMGeP2+mwFBgYSFRVll/af\n//yH69evs2rVKmvaqFGj0FqzZ88eQkNDAXjmmWeIiopi3LhxDBw4ED8/vyxtd3ZZGhF9+/Zl8uTJ\nfPPNN7Rv3x6AX375xe6q1pEjRyhatKi1Hti6du0aNWvWZPfu3RQuXBiAhQsXsnPnTubMmZNr8QIc\nPXoUpRQFCxa0Sw8ODs7RDF3x8fEMGzaM5cuX201KoJRi7ty59O/fP9tl50STJk347rvvpGEhXGrb\ntq2nQxB5kNQb4Q3yZFcopVRJpdQipVScUipRKfWrUqr+bVthXBxs3GjcrShd2nhduGCkXbxon/fG\nDThxwrijYdtVJjwcLl/+p2Fi6/Rp+PJLWLPGKPOrr4w7Hi5mj8mONm3asHPnTjp27Mhvv/3G9OnT\nadeuHaVKlWL16tVuleHn52f9f0pKCpcuXSIiIoLQ0FCnubOVUgwcONAurXnz5ly8eJFr166RlpbG\n+vXrefzxx60n1wBVq1alXbt2ub7urK4vI5988gkffPAB06dPp0WLFtb0L7/8kvbt25OamsrFixet\nr7Zt2xIfH09sbGyuxpGeffv2Wa/6R0RE0KpVK7sGXnJyMj4+Ptb3Z86cSfduybZt29BaWxsVlu20\njNnITZcvXwaMgem2goKCrJ9l1dWrV2nZsiWhoaFs27aNhQsXkj9/fmJiYjh+/LjHGhUAdevWZc+e\nPR5bvxBCCHE75Lk7FkqpUGAHsBFoB8QBlYHsnX244/hxo1FQteo/aRUqwMGD8OefYO42ZA4wa2Xf\nugVbtxrlV65sNEZu3oQDB4xymzbNlU1o0KABX3zxBSkpKfz666989dVXzJgxg27durFnzx6qVauW\n4fI3btzgjTfeYMGCBZw5c8baxUgpRUJCglN+xzsehQoVAowTyOvXr5OUlOSye0vVqlWtg3ezu+4K\nFSrYvb9w4UKW1peePXv28Nxzz9GjRw+GDBliV358fDwffvghc+fOdVpOKcX58+dzLY6MbNu2jc6d\nO1vf9+vXj969e3P69GlCQkKcxtlcuHCBkJAQl2Vt2bLFqdvUjz/+aLftFmlpaXTp0oWbN28CzhMB\nWO6iaK0JDQ3l008/tfvc0tixbfSA0RBKSUlJd3sz8sorr9CwYUOmT58OQO3atZk5cyanTp3innvu\nydX4s6pw4cIcPXo0R2UIIYQQ3ibPNSyAEcBJrbXt5cYT6WXOFQkJ4GqmID8/4zPHtIgI+Plno0uT\n5UTp7FmjoVC8uH3+s2fh3DkoV+6fOxx+fhAWBn/8AQ0b5lqXKABfX18aNGhAgwYNqFy5Mn369GH5\n8uXWLjrpef7551m4cCFDhw6lcePGhISEoJTiiSeeIC0tzSm/4wmiRXZmnsrqugMCArK8jszEx8fT\npUsXqlWrxv/93//ZfWaJ4emnn7YbfGyrTp06pKam5npcjk6fPk14eLj1fZcuXXj++ef56KOPaNKk\nCU2aNLHL72r/WWzdutWuG9ihQ4dISEigcePGTnlNJhNfffVVtuO2jOVxjOf69evpNnwycunSJT7+\n+GMOHTpkl55eQyWn8WdVoUKFXDaKhQBk1jCRLVJvhDfIiw2L9sBapdTnQEvgDDBba/1RxovlQOHC\nxl2EtLR/Tv7T0ow0m24iVvXqGV2ejhwBX19j8HZoqHH3wfGkNzXVKMvxRNyyXGpqrjYsbN17770A\nnDXPWJXRg7lWrFhBdHQ006ZNs6bdvHkzW8+8KFq0KAEBARw+fNjps4MHD+b6urO6Pkdaa6Kiorhy\n5QqbNm2yG7RtKT84OJjU1FQefPDBdMtJS0vLURzZ4efnR48ePZg3bx4pKSmMHDnS7vOwsDCX+zEx\nMZFffvnF7gGKP/74I7Vr187S9L3ustxlOnfunHWmMq018fHxREREZLm8HTt2UKpUKcrbjIG6fv06\nBw4csNZ7T0pNTc3T0xqL2+vTTz+VE0SRZVJvhDfIiw2LCOA54C1gEnAfMFMpdVNrvSjDJbOrYkX4\n/XejoWC54/D331CihPGZo9BQiIw0ukldvAiBgcYdCfNVWTthYRASYuSzfK61MYajVi1wOInNjs2b\nN7t8YNeaNWsArN2gLP3b4+Pjnboy+fj4OF1NnjlzZrauwptMJtq1a8fKlSvtnrNw4MAB1q9f75Q/\np+vO6vocjRs3jg0bNrB27VqXD84zmUx06dKFTz/9lJEjRzrNvBUXF0dYWFiO48jMiRMnXMbXv39/\n3n//fX788UenMQwlSpTgouM4IYwT89TUVKpUqWJN2759O02bNiUlJYXZs2dbZ7oC565E6UmvK1H5\n8uWpVKkShw4dsu6/gwcPcvPmzQwba+m5efMmJUuWtEtbtGgR7dq1c7mPchp/Vl2+fNl6l0YIR599\n9pmnQxB5kNQb4Q3yYsPCBPxPa23pu/OrUqoW8CxwexoWBQtC27ZG96bTp420atWMbkoOs9hYBQZC\nOlO7OpVdvz5s2wZXrhh3NK5eNbpN1a2bK+G/8MILJCYm8vjjj1OtWjVu3brFjh07+Pzzz4mIiCA6\nOhowxmForRk1ahRPPvkk+fLlo0OHDgQEBBAZGcmiRYsoWLAgNWrUYOfOnWzcuNF6dTmrxo8fz9q1\na7n//vsZNGgQycnJvPfee9SqVYvffvvNLm9urDsr67O1b98+Jk6cSMuWLfn7779ZsmSJ3eeWGamm\nTJnC5s2badSoEQMGDKBGjRpcunSJmJgYfvjhB+uDCLMbhztWrlxJo0aNnNLr1q1L/fr1qeuiPlWr\nVo1z586RlpZm91yOrVu3AsYJelBQEPv27eO7775j9OjRbNu2zak7VG50JerVqxeffPKJdYzIggUL\n6NChA5UrVwaMGalGjx7Nnj177AaUu9K8eXOGDx9u3a6TJ08yZ86cdCcryM2uUKmpqRl2MQOjsenY\n8BFCCCHyPK11nnoBx4EPHdKeBU6lk78+oMPDw3X79u3tXo0bN9ZvvvmmBnRMTIzOVFqa1gkJxist\nLfP87kpL0/rIEa2//VbrZcu03rpV6/Pnc634devW6f79++saNWroggULan9/f12lShX94osv6gsX\nLtjlnTRpki5Tpoz29fXVJpNJnzhxQmutdXx8vO7Xr58uVqyYLliwoH700Uf1H3/8oStUqKD79u1r\nXX7cuHHaZDLpixcv2pW7YMECu/K01nrbtm26YcOG2t/fX1eqVEl/+OGH1uVtJSQk5GjdWVmfY5yb\nN2/WJpMp3ZetCxcu6BdeeEGXK1dO+/n56ZIlS+qHHnpIz5s3L8txpCc6OlpXqFDBLi0mJkY/9NBD\nOl++fLpq1ap60aJFTsvNnTtXf/XVVy7LfOKJJ3RsbKxdWosWLXSzZs10z5499euvv67nz5+vN2zY\noB9//HE9evToTOPMjuTkZP3yyy/rwYMH69GjR+tevXrp+Ph46+cff/yxLlasmF6zZo1b5X355Ze6\nX79+evTo0XrgwIF2de92+O6773SXLl10eHi4NplM+v7779f9+/d3mXf06NH63XffdUrPrA57q5iY\nGKff0aVLl+ro6GinvN27d3eqi+vWrdPt27d3yjto0CD90UcfOa2rffv2Tr9dY8aM0VOmTLFLO3Hi\nhG7fvr0+cOCAXfrMmTP1yy+/bJd2/fp13b59e71t2za7dNkO2Q7ZDtmOu2U7li5dancOHB4erlu0\naKEBDdTXuXCernQ2BtN6klJqCVBaa93SJm0G0FBrfb+L/PWBmJiYGOrXd56RNjY2lgYNGpDe50J4\nkz59+rBp0yZiYmLw9fXN1sBmR+vWrWPr1q1MmjQJMO5ShIaG8v333zvNCuVpV69eZePGjXm+H/FD\nDz3EnDlzqGjuSnnz5k2uXbvG1KlTeeutt7hw4UKmd2W8ifyOCiFE3mT5/QYaaK1jM8ufmbz4HIsZ\nQGOl1EilVEWlVBTQH3gvk+WEuCucOnWKokWL0rx581wpr127dvz222/cuHEDgF27duHn5+dy9idP\n27Jli+UHMM+yTJlc0WZ81pw5cyhatChvvfWWByMT3qJPnz6eDkHkQVJvhDfIc2MstNa/KKUeB6YA\no4E/gSFa62WejUyI22/48OH07NkTMB4el1vGjh3LhAkTeOONNzh48CDdunVLd8pgT0lJSeG3334j\nMjLS06HkyKxZs5ymd+7atSu1a9e2vs+NO1Ei75InKIvskHojvEGea1gAaK2/Bb71dBxC3GnVqlXL\n9GGG2XHvvfdy/PhxNm3axMCBA52eXu4Nzpw5w4ABAzwdRo78+uuv3Lp1i5YtW9qllypVyu5p7OLf\n7amnnvJ0CCIPknojvEGebFgIIXJf165dPR1ChsqVK+fpEHLs22+/tT4JXAghhLjbSMNCCCHuEMcH\nFAohhBB3k7w4eFsIIYS4a23fvt3TIdyVLiZe5PDFw1xMdH4o6N1A6o3wBnLHQgghhPAi06ZN4/77\nnWZPF9mUlJzE579/zo5TO7h26xpB+YNoVqYZ3Wt2JyBfgKfDyzVSb4Q3kDsWQgghhBdZtkwmOcxN\nn//+OasOrcJH+VA2pCw+yodVh1bx+e+fezq0XCX1RngDaVgIIYQQXiQwMNDTIdw1LiZeZMepHYQX\nCCc8KBx/X3/Cg8IJLxDOjlM77qpuUVJvhDeQhoUQQggh7kqXki5x7dY1Qvztnw0T4h/CtVvXuJR0\nyUORCXF3koaFEEIIIe5KhQMKE5Q/iIQbCXbpCTcSCMofROGAwh6KTIi7kzQshBBCCC8ybNgwT4dw\n1ygSWIRmZZpx7vo5zl07x42UG5y7do5z18/RrEwzigQW8XSIuUbqjfAGMiuUEEII4UXKli3r6RDu\nKt1rdgdgx6kdnEw4SVD+IDpW7WhNv1tIvRHeQBoWQgghhBd54YUXPB3CXSUgXwC96/Umskokl5Iu\nUTig8F11p8JC6o3wBtKwEEIIIcRdr0hgkVxrUFxMvHhXN1KEyC4ZYyEydOLECUwmE5988omnQ7nr\nRUdHU6FChVwts3z58vTt2zfDPFu2bMFkMmEymfDx8SE2NjbX1m8pe+vWrblWprgzVq1aZa0XJpMp\nV+uFEHlVUnISC/csZOTGkYzdPJaRG0eycM9CkpKTPB2aEF5BGhYiU0opT4fwr6CUyvV9nZXyXnvt\nNRYtWkRERITHYsgtWmumTZtGREQEAQEB1K1bVx4eZbZhwwb69etH7dq18fX1Tfd4N2zYkMWLFzNw\n4ED5DbjDDh486OkQRDq8+WF7Um+EN5CGhchQuXLlSEpKomfPnp4ORdxGSinatGlDVFQUoaGhuVZu\ny5YtSUpKokWLFrlWpjtGjRrFiBEjaNeuHe+99x7lypUjKiqKzz/3/B9/T1u6dCnLli0jNDSUUqVK\npZuvZMmSREVF0bhx4zsYnQB45ZVXPB2CcMHbH7Yn9UZ4A2lY3CYpKfDnn7BnDxw4ANeueTqi7Muf\nP79csRTZlj9//ju6vr/++ou3336bF154gQ8++IB+/frx9ddf07x5c4YNG4bW+o7G420mT57MlStX\n2LZtG3Xq1PF0OMKF9957z9MhCBe8/WF7Um+EN5CGRRZdv268MpKYCGvXwsqVsHEjrFkDX30Fp0/f\nmRhtjRs3DpPJxOHDh3n66acJDQ2lWLFijBkzBoBTp07RqVMnQkJCKFGiBG+//bbd8q7GWERHRxMc\nHMxff/1Fp06dCA4OplixYm6ftFn63S9fvpzx48dTunRpChYsSLdu3bh69Sq3bt3ixRdfJDw8nODg\nYPr27UtycrJdGfPnz6d169aEh4fj7+9PzZo1mTNnjl2eTZs24ePjw7hx4+zSly5dislkYu7cuRnG\neeTIEbp06UKJEiUICAigTJkyPPXUU1y9etUu3+LFi2nUqBEFChSgcOHCtGzZku+//976+ddff01k\nZCSlSpXC39+fSpUqMXHiRNLS0jLdV1pr3nnnHWrVqkVAQADFixfn2WefJT4+3invxIkTKVOmDAUK\nFKB169bs378/0/IzYznWp06dIjIykuDgYEqXLs3s2bMB2Lt3L61btyYoKIjy5cvz6aef2i3vaoxF\nq1atqFOnDgcOHOCBBx6gQIEClC5dmunTp+c4XoCVK1eSkpLCc889Z5f+3HPPcfr0aXbu3JnlMi3f\ng7fffpvZs2dTsWJFChQoQLt27Thz5gwAr7/+OmXKlCEwMJBOnTo5HSN36sHBgwcJDAwkOjrabtnt\n27fj6+vLyJEjsxy7o+LFi+Pj45PjcsTtI9OGeidvf9ie1BvhDWRWKDfFxUFsLJw8abwvWxbq14ew\nMOe8e/bA/v0QEQF+fpCWZty92LoVunYFVxdwU1Ph3Dm4cQNCQ6FwLv0+We40PPHEE9SoUYOpU6ey\nZs0aJk2aROHChZk7dy6tW7dm2rRpLFmyhGHDhnHfffdx//33Z1hmWloa7dq1o3Hjxrz11lt8//33\nvP3221SqVImBAwe6FdvkyZMJDAxk5MiRHDlyhFmzZpEvXz5MJhPx8fGMHz+eXbt2sXDhQiIiInjt\ntdesy86ZM4datWrRsWNHfH19Wb16NYMGDUJrbT2hfOCBBxg0aBCTJ0+mU6dO1KtXj7NnzzJ48GDa\ntm2bYZzJycm0bduW5ORkBg8eTPHixTlz5gzffPMN8fHxBAcHAzB+/HjGjx9Ps2bNeP3118mfPz8/\n/fQTP/zwA23atAFgwYIFBAcH89JLLxEUFMQPP/zAmDFjuHr1KlOnTs1wHz3zzDN88skn9O3blyFD\nhvDnn38ya9Ys9uzZw44dO6wniKNHj2bSpElERkbyyCOPEBsba40/JyzH+pFHHqFly5ZMnz6dJUuW\n8MILL1CgQAFeffVVnn76abp06cKcOXPo3bs3TZs2pVy5cnZlOJZ56dIlHnnkETp37syTTz7JF198\nwYgRI6hTpw7t2rWz5r140b2uBcHBwdY7I3v27KFAgQJUq1bNLs99992H1prdu3fTtGnTbO2PxYsX\nW+vEpUuXmDp1Kt26dePBBx9ky5YtjBgxgiNHjjBz5kxefvllPvroI+uy7tSDatWq8frrr/PKK6/Q\ntWtXIiMjSUxMJDo6mho1ajBhwgRredevX+fGjRuZxpwvXz4KFiyYre0VQvzD8rC9VYdWAcadioQb\nCZy7fo6OVTvK7FBCgHFF9G5+AfUBHRMTo12JiYnRGX2utdZXrmi9ZInW06drvXCh8Zo+3Ui7csU+\n761bWs+fr/W8eVp//fU/rxUrtH77ba2PH3cu/+JFrb/8Uut33zXK/eADrbdsMcrKqXHjxmmllH7u\nueesaampqbpMmTLax8dHT58+3ZoeHx+vAwMDdZ8+faxpx48f10opvXDhQmtadHS0NplMetKkSXbr\nql+/vm7YsGGmMW3evFkrpXSdOnV0SkqKNT0qKkqbTCb92GOP2eVv2rSprlChgl3ajRs3nMp9+OGH\ndaVKlezSEhMTdeXKlXXt2rX1zZs39WOPPaZDQ0P16dOnM4xxz549Wimlv/zyy3TzHDlyRPv4+Oiu\nXbtmWJarWJ999lkdFBSkb9kc5OjoaLvt3LZtm1ZK6WXLltktu379eq2U0p9++qnWWusLFy5oPz8/\n3aFDB7t8r776qlZK2R1PVzZv3qxNJpPesmWL02eWYz116lRrmqWe+Pj46OXLl1vTDx06pJVSevz4\n8RmW3apVK20ymfSSJUusabdu3dIlSpTQ3bp1s1u/UirTl8lksqufkZGRTvVAa6MuKKX0qFGjMtwf\nrli+B+Hh4frq1avW9FGjRmmllL7nnnt0amqqNT0qKkr7+/vbHV9360FaWppu3ry5LlGihL548aL+\nz3/+o/Pnz69jY2Ptlo2OjnZr/zzwwAPpbldkZKTTd8vRggULtMlkyvA30p3fUSHuBom3EvWC3Qv0\ngK8H6Ke+eEoP+HqAXrB7gU68lejp0ITIFsvvN1Bf58J5t9yxcMOxY0Y3pqpVwWTuPBYSAocOGZ/V\nrftP3tRU45Uvn30ZPj7GnYvUVPv01FTYsgWOHoVy5Yw7HPHx8PPPEBwM99yT8/iVUvTr18/63mQy\nce+997Jq1Sq7qUhDQkKoWrUqx44dc6tcxyv+zZs3Z/HixW7H1bt3b7suGY0aNWLZsmVO06M2atSI\nWbNmkZaWhsl8APz8/KyfX7lyheTkZFq0aMH69eu5evWq9Y5CQEAACxYsoGXLlrRo0YKff/6Zjz/+\nOMNBq2DsC4C1a9fy8MMPExAQ4JTnq6++Qmtt7VaWHttYr127xs2bN7n//vv58MMPOXjwILVr13a5\n3BdffEFoaCitW7e2u3J/zz33EBQUxKZNm3jyySfZsGEDycnJTg9HevHFF3njjTcyjM1dtvXHUk+O\nHj1K165drelVqlQhNDTUrfoTFBREVFSU9X2+fPm47777nJa17VKWkZo1a1r/n5SUZLfPLfz9/a2f\nZ1f37t0JCgqyvm/UqBEAPXv2tNZNS/qyZcs4c+YM5cuXB9yvB0opFixYQL169XjkkUeIiYlh9OjR\n3OPwYzB8+HC3JlUoVKhQtrdXeMbUqVMZPny4p8PwSp5+foQ3P2xP6o3wBtKwcENcnHHCb3PegMlk\npMXF2ef194eSJY2uUKGhYOkFcvGi0Rhx7Dr1999G96ry5Y3yAAoVgqQko4zatcE3F46SY9/LkJAQ\n/P39KezQ5yokJIRLlzIfgObv70+RIvY/poUKFeLy5cvW93FxcaTatKSCgoIoUKCA9X2ZMmWc1p1e\nelpaGgkJCdaTpB07djB27Fh27dpFYmKiNa9SioSEBGvDAqBp06Y8++yzvP/++zz88MP07t070+0r\nX748L730Em+//TaLFy+mefPmdOjQgaefftrareTYsWOYTCaqV6+eYVn79+/n1VdfZdOmTVy5csUp\n1vQcPnyY+Ph4ihUr5vSZUorz588DcNLcP69SpUp2ecLCwnLlpNLVsQ4JCaF06dJOeUNCQuzqQHpc\nLVuoUCH27t1rl/bggw9mMVqjMXnz5k2ndEu3IVeNRHelV2cdt8eSfvnyZWvDIiv1ICIigrFjxzJs\n2DBq165t1w3Qolq1ak7dvcTdwfY3TRiSkpP4/PfP2XFqB9duXSMofxDNyjSje83uBOTL/nc6u3Lz\nYXu5ReqN8AbSsHBDUBC46qqenGx85qhePaPB8McfULCg0UgAuP9+472tGzeMGaQcL7AGBhrLJSfn\nTpXPW5QAACAASURBVMPC1WDN9AZwajcGYLsz+LNhw4acOHECME6exo4da3d1P70yMovr2LFjtGnT\nhurVqzNjxgzKlClD/vz5WbNmDe+8847ToOhbt26xefNmlFIcPXqUGzduWK9eZ2T69OlER0ezatUq\n1q9fz+DBg5k8eTI//fQTJUuWzHR5gISEBFq0aEFoaCgTJ04kIiICf39/YmJiGDFiRIYDuNPS0ggP\nD2fp0qUuj0nRokXdiiGnsnucslOm47Lnzp3LtCz4p6EMUKJECTZv3uyU5+zZswBuHztXsrsvslMP\n1q1bh1KKv/76i4sXLzo1MK9cueLW3Zf8+fPLXYs8Zvz48Z4OwetYnh8RXiCcsiFlSbiRYB3r0Lte\n5heL/g2k3ghvIA0LN0REwG+/GXcWLOckf/1l3IFw9WypEiUgMtKYZvbsWShdGqpUgYoVnfOGhBiN\niIQE4/8Wly8bA8Rd9OjIM5YuXWp34pNbD15bvXo1t27dYvXq1XZdmjZu3Ogy/5gxYzh48CBvvvkm\nr7zyCiNGjOCdd95xa101a9akZs2ajBo1il27dtG0aVPmzJnDhAkTqFixImlpaezfvz/daTs3b97M\n5cuXWbVqFc2aNbOmHz16NNN1V6xYkY0bN9K0aVOXXXssLAOlDx8+bL06DsYdI3fuHnizEiVKoJTK\nsLGilGL+/Pn06tULgHr16jFv3jwOHjxod0V/165dKKWoV6/ebY/bUVbrwZw5c9i4cSOTJk3ijTfe\nYODAgXz11Vd2eYYMGcLChQszXXerVq344YcfcrYBQniQ4/MjAPyDjAsJO07tILJKpNfdPRDi30oa\nFm4oWhQeeAB27oTjx420sDBo0sT4LL1l3LmgXKQIVK8Ov/xi3KEICIBLl4wxGXXq2He/ymuaNGly\nW8q1XB22vcqbkJDAggULnPL+9NNPvPXWWwwdOpShQ4dy4cIFpk2bRpcuXWjevHm667h69SqBgYF2\nV6Jr1qyJyWSydrPp1KkTw4cPZ8KECSxfvtzlsz58fHzQWtvFeuvWLet0rRnp3r07s2fPZsKECUya\nNMnus9TUVK5du0ZISAht2rTB19eXWbNm8dBDD1nzzJgxI9N1eLvsjLHo2LEjQ4cOZfbs2cycOdOa\nPmfOHEqVKpXtGaFyIiv14M8//7TOCjVixAgKFy7Ms88+y+LFi3n66aet+WSMhfi3sDw/omyIQ5de\n/xBOJpzkUtIlaVgI4SWkYeGmSpWgTBljSliA8PDcuZugFDRrZgzU3r/faFyULm0MCM+lC/x5ijvd\naNq2bUu+fPmIjIxk4MCBXL16lY8++ojw8HD+/vtva76bN2/Su3dvqlatysSJEwHjVvHq1avp06cP\ne/fuTbe//Q8//MDzzz9Pt27dqFKlCikpKXzyySf4+vrSpUsXwLij8OqrrzJx4kSaN29O586d8fPz\n4+eff6ZUqVJMmjSJpk2bUqhQIXr16sXgwYMBY8pSdx442KJFCwYOHMiUKVPYs2ePdbv/+OMPvvji\nC2bOnEnnzp0JCwvj5ZdfZsqUKURGRvLoo4+ye/du1q5de8e6S2XEnWOanuyMsShVqhQvvvgib775\nJrdu3aJhw4Z89dVX7Nixg6VLl9rt+y1btvDAAw8wbty4TAfhZ5XtdmelHvTt25fAwEBro+OZZ55h\nxYoVDBkyhDZt2lC8eHEg+2Ms9u7dy9dffw0Yz2pJSEiwNlzr1q1LZGRklssUuSsuLo4wV3OZ/0vZ\nPj/CcqcCvOf5Ed5C6o3wBtKwyAI/P6N7Um7Llw8aNDDuUNy6Zdy1uBN3KtI7uXX13IHsLpvTdbtS\npUoVVqxYwWuvvcawYcMoXrw4gwYNokiRInazF40aNYpjx46xc+dO6zMO8uXLx8KFC2nSpAnDhg1L\n90mldevW5eGHH+abb77hzJkzBAYGUrduXdauXct9991nzTd+/HgiIiKYNWsWr732GoGBgdSpU8fa\nLadw4cKsWbOGl156idGjR1OoUCF69uzJgw8+aPe8hvS2/4MPPuDee+9l7ty5vPrqq/j6+lK+fHl6\n9epl16Vm0qRJBAQEMGfOHDZv3kzjxo1Zv349jz32WI6fmp6VY6WUuiP1JzNTp061Pqdl4cKFVK5c\nmSVLlvDEE0/Y5bt27RpKKbfGXbjatoxitk13tx7MmjWLrVu38uWXX9oNmJ83bx61a9dmwIABrF69\nOtNYMxIbG+vUiLK87927tzQsvEDfvn2tjT8hz49wl9Qb4Q1UTq4m5gVKqfpATExMDPXr13f6PDY2\nlgYNGpDe50Lc7SxX7VetWkXTpk0JDQ391zyZ+ZVXXuGzzz7jyJEj5HOcI/pfLjk5mStXrvDpp58y\nZMgQfv7553R/I+V3NHfFxsbKfnTgbbNCeSOpNyI7LL/fQAOtdWxOy5M7FkIIlFJ07NgRpVSGJ5B3\nmy1btjBmzBhpVLjw7bff8vjjj+faXSThvn/L9y8rvPn5Ed5C6o3wBtKwEOJfrm7dumzYsMH6vur/\ns3f30XHX55333z+NZjQzGnmsB1vGYIEBY8AhOFJMCiahrbu0S1m57e6KsMke17D33ukJyZaza7q+\nk62h2y43yd59grTd3Tqpe6Am7nbXpnnYkigFYpGAI8UEHNsx2FgytsfWyBprnjQP+t5/jEfWyJI8\nGs1o5jfzeZ2jI/un0cz3Z10hc+n7va5r7doyrmZxvfHGG+VeQsW69957c4rnaykupHJV4vwIEblM\niYVIjVu6dGlBRdJS3VpbWxUXIiIyLzZuZioiIlJ9du7cWe4liA0pbqQSKLEQERGpIAMDC66flBqk\nuJFKoMRCRESkgnzlK18p9xLEhhQ3UgmUWIiIiIiIyIIpsRARERERkQVTV6hLDh8+XO4liIjYkv77\nKSIioMSCtrY2vF4vn/70p8u9FBER2/J6vbS1tZV7GVWhu7ubl156qdzLEJtR3EglqPnEoqOjg8OH\nDzM8PFzupUgF+sEPfsDdd99d7mWIDdVa7LS1tdHR0VHuZVSFxx57rNxLqHrBaLDqJngrbqQSWMaY\ncq+hpCzL6gT6+/v7Ne5eRESkhsWSMfYc2kPfUB/hRBify8fGVRvpWdeDx+kp9/JEFt3AwABdXV0A\nXcaYBfcsVvG2iIiI1IQ9h/aw7+g+HJaDDn8HDsvBvqP72HNoT7mXJlIVlFiIiIhI1QtGg/QN9dHe\n2E67rx13vZt2Xzvtje30DfURjAbLvUQR21NiITKHvXv3lnsJYlOKHSmUYqc0RmIjhBNh/G5/znW/\n2084EWYkNlKmlRWH4kYqgRILkTns3r273EsQm1LsSKEUO6XR4mnB5/IRiodyrofiIXwuHy2eljKt\nrDgUN1IJlFiIzOHrX/96uZcgNqXYkUIpdkqj1dvKxlUbCUQCBMIB4qk4gXCAQCTAxlUbbd8dSnEj\nlaDm282KiIhIbehZ1wNA31Afg6FBfC4fm9dunrwuIgujxEJERERqgsfpYcv6LTx4y4NFnWNRjXMx\nRAphu8TCsqwdwI5pl48YY24vx3pERETEXlq9rUVJADQXQySXXWss3gHagRWXPu4t73KkWm3durXc\nSxCbUuxIoRQ79lFJczEUN1IJ7JpYpIwx540x5y592LtHnFSs+++/v9xLEJtS7EihFDv2UGlzMRQ3\nUgnsmlissSzrA8uy3rMs63nLslaVe0FSnR5++OFyL0FsSrEjhVLs2EOlzcVQ3EglsGNi8UPgN4Ff\nBj4DrAZesyyrsZyLEhERkdpR7XMxRAphu8TCGPMPxpi/M8a8Y4z5DvAA0AyoV5yIiIiURDAa5Fjw\n2OQRp2qfiyFSCNslFtMZY0LAz4Cb53rcAw88QHd3d87H3Xffzd69e3Me9/LLL9Pd3X3F93/2s59l\n586dOdcGBgbo7u5meHg45/qOHTt45plncq4NDg7S3d3NkSNHcq4/++yzbNu2LedaNBqlu7ub/fv3\n51zfvXv3jMVZDz30kO6jRPexf//+qrgPqI6fh53uY+r67HwfU+k+Fuc+fuu3fqsq7qNafh6//19+\nn10Hd7G9dzs7XtnB5178HB+57yMcfPsgPet62Lx2M2mT5ru7v8vrX309Zy7GYt7H/v37a+Lnofso\n/D52796d8x54xYoVPP7441c8fiEsY0xRn3CxWZblAwaB3zXGPDfD1zuB/v7+fjo7Oxd9fWJv3d3d\nvPTSS+VehtiQYkcKpdipLLsO7mLf0X20N7bjd/sJxUMEIgE2r93MlvVbgMqYY6G4kUIMDAzQ1dUF\n0GWMGVjo89lux8KyrC9blvUJy7KutyzrHuB/A0lgd5mXJlXoxRdfLPcSxKYUO1IoxU7lyLfzU6u3\nlTWta8p6/ElxI5XAdokFcB3wN8AR4EXgPPBzxpjF7esmNcHr9ZZ7CWJTih0plGKnclRa56e5KG6k\nEthu8rYxRv3UREREpOSmdn5y+9yT19X5SWRmdtyxEBERESk5dX4SmR8lFiJzmN6JQSRfih0plGKn\nskzt/DQYGiRt0jmdnyqF4kYqge2OQokspo6OjnIvQWxKsSOFUuxUFo/Tw5b1W3jwlgfL3vlpLoob\nqQS2bzd7NWo3KyIiIiJypZpvNysiIiIiIpVHiYWIiIiIiCyYEguRORw5cqTcSxCbUuxIoRQ7UgjF\njVQCJRYic3jiiSfKvQSxKcWOFKqWYycYDXIseGxyorXkr5bjRiqHukKJzOG5554r9xLEphQ7Uqha\njJ1YMsaeQ3voG+ojnAjjc/nYuGojPet68Dg95V6eLdRi3Ejl0Y6FyBzUvk8KpdiRQtVi7Ow5tId9\nR/fhsBx0+DtwWA72Hd3HnkN7yr0026jFuJHKo8RCREREyiYYDdI31Ed7Yzvtvnbc9W7afe20N7bT\nN9SnY1EiNqLEQkRERMpmJDZCOBHG7/bnXPe7/YQTYUZiI2VamYjMlxILkTk888wz5V6C2JRiRwpV\na7HT4mnB5/IRiodyrofiIXwuHy2eljKtzF5qLW6kMimxEJlDNBot9xLEphQ7Uqhai51WbysbV20k\nEAkQCAeIp+IEwgECkQAbV22k1ds67+dcSHcpu3amqrW4kcpkGWPKvYaSsiyrE+jv7++ns7Oz3MsR\nERGRaYrVFWohz6POVFKLBgYG6OrqAugyxgws9PnUblZERETKyuP0sGX9Fh685UFGYiO0eFoK2qnI\ndpdqb2ynw99BKB5i39F9AGxZv6Vk3ysiGToKJSIiIhWh1dvKmtY1BR9/KrS7lDpTiRSHEguROQwP\nD5d7CWJTih0plGKnMAvpLlUNnakUN1IJlFiIzOGRRx4p9xLEphQ7UijFTmEW0l2qGjpTKW6kEiix\nEJnDk08+We4liE0pdqRQip3CLKS7VCk6Uy02xY1UAhVvi8xBncSkUIodKZRip3A963oA6BvqYzA0\niM/lY/PazZPXS/W9lUBxI5VAiYWIiIhUhYV0lypWZyqRWqbEQkRERKpKq7e14KRgId8rUutUYyEy\nh507d5Z7CWJTih0plGInl10nYS82xY1UAiUWInMYGFjwEEqpUYodKZRiJyOWjLHr4C62925nxys7\n2N67nV0HdxFLxsq9tIqkuJFKYBljyr2GkrIsqxPo7+/vV2GTiIiITew6uGtyErbf7ScUDxGIBNi8\ndrMmYYsUycDAAF1dXQBdxpgFZ6fasRAREZGKoknYIvakxEJEREQqSqVPwlbdh8jM1BVKREREKsrU\nSdhun3vyerknYceSMfYc2kPfUB/hRBify8fGVRvpWdeDx+kpy5pEKol2LETm0N3dXe4liE0pdqRQ\nip3KnYS959Ae9h3dh8Ny0OHvwGE52Hd0H3sO7SnLeqZS3EglUGIhMofHHnus3EsQm1LsSKGqLXZm\nOjaUz1GinnU9bF67mbRJMxgaJG3SZZ2EXel1H9UWN2JPOgolMof777+/3EsQm1LsSKGqJXZmOja0\nYeUGLCzePP3mVY8SLdYk7GA0mNfzZ+s+OvwdOdf9bj+DoUFGYiNlHaxXLXEj9qbEQkRERIoue2yo\nvbGdDn8HoXiIv+j/CwDuWnnX5LV9R/cBzNpCtlSTsOdbL1GpdR8ilURHoURERKSoZjo21NTQRDQR\nJZqI0tTQVPajRPOtl6jUug+RSqLEQmQOe/fuLfcSxKYUO1KoaoidmdrFxpIxLMvCwsqZnl2OFrKF\n1ktUWt3HVNUQN2J/SixE5rB79+5yL0FsSrEjhaqG2Jl6bCjL4/RgjMFgco4aleMoUaFzMrJ1H09v\nepqnfv4pnt70NFvWb6mIVrPVEDdif0osRObw9a9/vdxLEJtS7EihqiF2Zjo2NDY+htflxevyMjY+\nVtajRDMlPpB/ktPqbWVN65qKOv5UDXEj9qfibRERESm67PGgvqE+BkOD+Fw+PtP1mcmuUNlr5ThK\nlE18soXjfrefUDxEIBJg89rNFZUwiNiJEgsREREpurnaxf76bb9e0hay+Zgp8amUegkRu1JiISIi\nIiUzU7vYUrWQnY/FmpMhUktUYyEyh61bt5Z7CWJTih0plGJncS20XiKfKeKLQXEjlUA7FiJz0CRT\nKZRiRwql2LGH+Q7YKzXFjVQCyxhT7jWUlGVZnUB/f38/nZ2d5V6OiIiIVIFdB3dNThafXvw9fYp4\nMBrUcSupSAMDA3R1dQF0GWMGFvp82rEQERERmYfpA/YA3D43kCkGf/CWB2n1tlbcroZIqanGQkRE\nRGQe8h2wt+fQHvYd3YfDctDh78BhOdh3dB97Du0px7JFSk6Jhcgc9u/fX+4liE0pdqRQip3Kl8+A\nvem7Gu56N00NTTQ4Gug90Vv0Ym/FjVQCWycWlmX9R8uyJizL+sNyr0Wq05e+9KVyL0FsSrEjhVLs\nVL6ZJotPnyI+dVcjmU5y8OxBeo/38tbZt3h96HX+cuAviSVjRVuT4kYqgW0TC8uyNgD/Fnir3GuR\n6vXiiy+WewliU4odKZRixx561vWwee1m0ibNYGiQtEnnDNibuqtx6Pwhjg4fxbIsGuobcNW5eG3w\ntaIeiVLcSCWwZfG2ZVk+4Hng3wD/qczLkSrm9XrLvQSxKcWOFEqxs3gW0q3pagP2srsaew7t4fiF\n47jr3aTSKcYSY6xtW0vHko6cQu+FUtxIJbBlYgF8Bfh7Y8z3LMtSYiEiIiJ5K2a3prmmiPes6yEQ\nDnB4+DCh8RCJdAK3w82ZsTNYWPhcPkZiI2pBK1XDdkehLMv6JLAe2F7utYiIiIj9LFa3Jo/Tw6Od\nj3JN4zXUUcd1S67jhuYbcNQ5+On5nxKIBGjxtBT1NUXKyVaJhWVZ1wF/DHzKGJOcz/c+8MADdHd3\n53zcfffd7N27N+dxL7/8Mt3d3Vd8/2c/+1l27tyZc21gYIDu7m6Gh4dzru/YsYNnnnkm59rg4CDd\n3d0cOXIk5/qzzz7Ltm3bcq5Fo1G6u7uv6PCwe/dutm7desXaHnroId1Hie5j27ZtVXEfUB0/Dzvd\nx9R12/k+ptJ9LM59fOITn6iK+6jUn8ej//ej7Ny5M6db08TpCQb+cIDeQ7ndmopxH5/6l58iejyK\nq95FfV3moMjImyMM7879N5vvfUz/eWzbts2WP49qiSs73Mfu3btz3gOvWLGCxx9//IrHL4StJm9b\nlrUZ+F9AGrAuXXYA5tK1BjPthjR5Wxbi2Wef5XOf+1y5lyE2pNiRQil2SutY8Bg7XtlBh78Dd717\n8no8FWcwNMhvf+y3afY0F21K9rHgMb7wvS8QSUQ4Gz5LIp3A5XCxwreCRlcjf/CLf8Ca1jULfh3F\njRSi1idvfxe4Y9q1vwIOA//v9KRCZKH0H2kplGJHCqXYKZ1gNMiF+AXq6+oJxUOT07KzXzs9dprn\nDjxHaiJVtCnZLZ4WlrqX0uppZd3ydcSSMTxOD2PjY6RNumhHoRQ3UglslVgYYyLAT6desywrAgSN\nMYfLsyoREREphoV0aZrL9GLt0xdPM5Yco3NFJ63eVkLxEANnM7+sbXQ24nf7CcVD7Du6D4At67cU\n/NrZ7lDZ58o+dyASYPPazSrclqpiq8RiFtqlEBERsbGFdGnKJxnZc2gPew7tYUnDEpY3LqfR2cjA\n2QGOjRwjkoxQX1dPk7OJNa1raPe1A0zuZhSjJWx2tkXfUB+DoUF8Ll/OzAuRamH7xMIY84vlXoNU\nryNHjnDrrbeWexliQ4odKVQtxk62S1N7Yzsd/o68dgvyTUZOhU7xtR9/jUAkQH1dPS6Hi1X+VXSu\n6GQ8Pc5jGx4DC/74h39Mq7eVaDI6eVzJ7/YzGBpccEvYq828KIZajBupPLbqCiWy2J544olyL0Fs\nSrEjhaq12AlGg/QN9eV0aWr3teNv8POtY9/iWPDYjN+Xb8vYF95+gXcvvIu73o3f7ceyLI4OH+X0\n2GlSEymaPc3c1HwT7no3b5x6g97jvbzy/iv0Hu/ljVNv4K53F60OotXbyprWNSU5/lRrcSOVSYmF\nyByee+65ci9BbEqxI4WqtdgZiY0QToTxu/0AJNNJDp49yMCZAX546od88XtfZNfBXcSSscnvmS0Z\naW9sp2+ob7JlbDAa5ND5QzS5mnDUOaivq8fn8tHoauT4hePU19VP7h44LAdHg0eJpWI0uhqJpWIc\nDR7FYTlsUQdRa3EjlUmJhcgcOjo6yr0EsSnFjhSq1mKnxdOCz+UjFA8BcOj8IY4OHyU5kaTZ3YzH\n6bliJ2J6MpLld/sJJ8KMxEYIRoMMnBkgkohwY/ONRBIRwokwqYkU6Yk04USYDy37EK3eVoLRIGmT\n5ta2W/HUe4gkInjqPdzaditpk86ZbVGpai1upDLZvsZCRERE7Gtq16R4Ks6JCyewLAtjDDc038AN\nS28gEA7kFFFPTUamtowNxUO46928/N7LvBV4a3LHYrl3OTe33MzpsdOE4iHSE2luarmJf3XHvwIy\niUo8Feeua+9iwkxM1ljUWXVFqbEQqRXasRAREZGy6lnXw+a1m4kmo4zGR3HVuVjbtpZ1y9YBuTsR\ncDkZCUQCBMIB4qk4gXCAQCSAw3LQe6IXh+VgTesaVjat5N0L7xJOhLm3414+tPxDrG5Zzdb1W7nO\nfx2Qu2vidXpp9bbidXoJxUP4XL6i1ViIVDslFiJzeOaZZ8q9BLEpxY4UqtJjJxgNcix4rKjHg7Jd\nk37/F3+fn7vu51h/zXrWr1iP0+EEmPENfjYZSZs0g6FB0ibNptWbSJt0Tu3F3dfdza1tt3ImfIZT\nF0/R1NBEz+09Oa1e50pUNq7aaIvdikqPG6kNOgolModoNFruJYhNKXakUJUaOwuZNZGvNa1reGDN\nA+w7uo9AODDnMLmZWriOxEboG+pjeePyycc5HU7uuvYujgWP8ZmPfobOazpnTBTsPmuiUuNGaotl\nTHXPl7MsqxPo7+/vp7Ozs9zLERERsaVdB3dNzpqY/oZ/IZOpp1vosLztvdtxWI7JQXcAgXCAtEnz\n9Kanr7r7EIwGeW/kPbDgpuabbLFbIVKogYEBurq6ALqMMQMLfT7tWIiIiMicprd3heJOpp5qIcPk\nphaCA3PueMwklozxjZ99o6S7MiLVTDUWIiIiMqd82rsWW6HD5Gaqvcj3SFO+Q/dEZGbasRCZw/Dw\nMG1tbeVehtiQYkcKVYmxM1d710rrmlTojsdi7sqUQiXGjdQe7ViIzOGRRx4p9xLEphQ7UqhKjB07\ndk2a745HOXZliqkS40Zqj3YsRObw5JNPlnsJYlOKHSlUpcaO3bsmXY2ddmVmUqlxI7VFiYXIHNRJ\nTAql2JFCVWrsLKSo2g6mF367HC7ORc5xcfwiPet6SnavwWiwKP+elRo3UluUWIiIiEjeWr2tVZVQ\nTNWzrodkOsnzbz/PqYunALhuyXUk0gliyVhRO0MtxlwQkcWmxEJERERqymy7BB6nB6fDSaOrkQ0r\nN7C8cTmJdIJvv/ttXA5XUed1ZDtQtTe20+HvIBQPTe6WFPN1RBaTirdF5rBz585yL0FsSrEjhVLs\nzE8wGuRY8BjBaPCqj40lY+w6uIvtvdvZ8coOtvduZ9fBXcSSscnn6hvqo2NJB2vb1tLsaabd1057\nYzt9Q315vUa+a57agcpd717w6yhupBIosRCZw8DAgodQSo1S7EihFDv5uVqSMJOrzalYrM5QpXgd\nxY1UAiUWInP4yle+Uu4liE0pdqRQip38zHeYXT67BFM7Q01V7M5QpXgdxY1UAiUWIiIiYiuFHCXK\nZ5dgseZ12HEuiEg+lFiIiIiIrRRylCjfXYKedT1sXruZtEkzGBokbdIlmdexWK8jspjUFUpERERs\nJd9hdtO7P02dU+F3+wnFQwQiATav3Ty5S7BY8zqqfS6I1CbtWIjMobu7u9xLEJtS7Eihqj125tPF\naTYzHSV6f/R93rvwHne234nX6Z2xsPuf3fLP8t4laPW2sqZ1Tcnf7Bfrdao9bsQetGMhMofHHnus\n3EsQm1LsSKGqNXaKPRAumwy8evJVXnn/FUbjoyx1L6X/TD8Hzx4kEAlwbdO1M86IqMZdgmqNG7EX\nJRYic7j//vvLvQSxKcWOFKpaY6fYA+GyR4nCiTCnLp7itrbbaPe1EwgH+M6J77B66Wrar2kHmDwu\n1TfUx4O3PFiV08OrNW7EXnQUSkREREqqFAPhss/7VuAtbmq+ieuXXo+73o3P5cNZ5+RC7ALRZHTy\nscWeRSEiV1JiISIiIiVVqsFz0583mowST8VxOVxEkpGcYXnFnkUhIldSYiEyh71795Z7CWJTih0p\nVDXGTqkGz2WfNxgNcvDsQXqP9/LDUz/kQvzC5EetzIioxrgR+1FiITKH3bt3l3sJYlOKHSlUNcZO\nqQbCZZ934OwAPwn8hAkzQX1dPa46Fz6Xj1MXT9XMjIhqjBuxH8sYU+41lJRlWZ1Af39/P52dneVe\njoiISE0qdleorFOhU3z6f32aQCSQSSocLlb5V7HMu4zx9DiPbXiMm1puqtqdCpGFGBgYoKurPWNB\nUQAAIABJREFUC6DLGDOw0OdTVygREREpuVINhIulYqxcspI7V9zJhJnA4/TgdXqJp+IMhgZp9jTP\n+jrTB+iJyMIosRAREZFFU+xWr9k6i0Q6QbuvffL6XPUbpdo9Eal1qrEQERER25pev3EhdoGjw0cZ\nDA3OWr+RnanhsBx0+DtwWA72Hd3HnkN7rvp6xZgcLlKtlFiIzGHr1q3lXoLYlGJHCqXYmb+edT08\ncPMDHB4+zDePfZMDpw8QSUZIpBM5LWdh5pkaTQ1NNDga6D3RO2vCEEvG2HVwF9t7t7PjlR1s793O\nroO7rnj+clHcSCXQUSiROWiSqRRKsSOFUuzMn8fpwelw0uhqZMPKDSxvXE4ineDb734bl8OVM9k7\nO/uiw99BMp3k0PlDDIWGiCVjJCYS/OXAX/L5j33+iiNRxZ4cXmyKG6kE2rEQmcPDDz9c7iWITSl2\npFCKnfnL7kJ0LOlgbdtamj3Ns072njpT49D5QxwdPoplWTTUN+Cqc/Ha4GtXHIkq1eTwYlLcSCVQ\nYiEiIiK2Np/J3tmajMHQIEeHj+KudwMQT8W5pe0WOpZ0XJEslGpyuEi10VEoERERqRiFtICdugvh\n9rknr8/WGapnXQ+BcICjwaNYaQuP5WFt21rWLVtH2qQZDA1OJgvZz/N5fpFapcRCZA779+/n3nvv\nLfcyxIYUO1KoWo2dhbSAze5CZGse/G4/oXiIQCTA5rWbr0hQPE4Pj3Y+yjvn3yGZTrLKvwqv0wvA\nSHgEd72bl997mbcCb02uxRjDB+EP8nr+cqjVuJHKoqNQInP40pe+VO4liE0pdqRQtRo7C2kBC5ld\niM1rN0/uOKRNms1rN9OzrmfGx7d6W9m0ehPj6XHGxseIp+IEwgECkQAOy0Hvid6ctZyLnKO9sT3v\n519stRo3UlksY0y511BSlmV1Av39/f10dnaWezliM9FoFK/XW+5liA0pdqRQtRg7wWiQ7b3bcViO\nnCF3gXCAtEnz9Kan894VmM9Rqpl2Se5sv5P+M/00OBpoamgilozhcXoYGx8jbdJsu2cbQMVN667F\nuJGFGxgYoKurC6DLGDOw0OfTUSiROXi9XohEMh+NjZkPkTzo/+ClULUYO1NbwE7ld/sn6x3yfRM/\nn8neHqeHLeu38OAtD04mIyOxEV49+SqBRICz4bMk0glcDhcrfCtw1jl5f/R9Oq/prKikAmozbqTy\nKLEQmU0yCQcOwOHDlxOL226DDRvA6Sz36kREqsZ8i6+LbXoyci5yjsHQIC2eFvxuP9FElDc/eJP6\nunocP3JM1nTkU/8hUktUYyEymwMHoK8PHA5YuTLzua8vc11ERIom+0Y9EAkQCAdy6h02rtq4+LsD\nBqYeFR+JjxBJRrAsi+uWXDfv+g+RWqHEQmQmkQgcPsy2730PWluhoSHzua3t8g6GyBy2bdtW7iWI\nTdVq7My3+LpURmIjLPct5/Zlt2OMIRgNEk6EWeZdRrO7mQkzUXHD8aB240Yqi+2OQlmW9Rngt4Ab\nLl06BPyeMeb/lG1RUn0u1VV0rFyZe72pCc6cuXw0SmQWHR0dV3+QyAxqMXayBdcP3vJgTr1Ddqei\nkNkWhWrxtLDUvZRWTyvrlq/jzNgZfnT6R7jr3dRZdZNHnwqp/yilWowbqTy2SyyAIeB3gGOABfwm\nsM+yrPXGmMPlXJhUkUuF2p/7+Mdzr4+NgderpEKu6nOf+1y5lyA2VUuxc7XZFQuZbVGo6TMxsvUd\nofEQH27/8OS8i0objldLcSOVK6+jUJZlXbAsaySfj1Iv2BjzTWPM/zHGvGeMedcY80UgDPxcqV9b\naki2UPv8eRgehvHxzOfh4cx1JRYiIgt2tdkVhc62CEaDHAseK/iY0tRjWeej52n3tdPsaWaZd1n5\n6z9EKli+Oxa/PeXPrcAXgX8AfnDp2t3ALwP/uXhLuzrLsuqAHsA7ZS0ixbFhQ+bz4cOZ409eL2zc\nePl6MaiVrYjUqGA0SN9QH+2N7ZOzK7IdofqG+rhn1T1zfv3BWx684k19sXY4preh9dR76D3RS99Q\nH4OhQXwuX0UNxxOpFHklFsaYXdk/W5b1d8DvGmOem/KQP7Us6zHgl4A/Ku4Sr2RZ1ofIJBJuYAz4\ndWPMkVK/rtQYp5MjLS3c+slPFv/Nv1rZVr0jR45w6623lnsZYkO1EjtXm13x/uj7855tsefQHvb8\ndA9LXEtY3ricRDoxeaRpy/ot817j1Da00+ddVNpORa3EjVS2QrpC/TIwU6H0/yGTWCyGI8CdwF3A\nnwN/bVmW/tckRffEE09k3vQvX17cHQW1sq16TzzxRLmXIDZVK7EzdXbFVNnahRuW3jDn16fXNpwK\nneJrB7/G8ZHjvHPuHfYP7udM+AytntaidW9q9baypnVNxSUVUDtxI5WtkMQiCGye4frmS18rOWNM\nyhhz3BjzY2PMF4C3gH831/c88MADdHd353zcfffd7N27N+dxL7/8Mt3d3Vd8/2c/+1l27tyZc21g\nYIDu7m6Gh4dzru/YsYNnnnkm59rg4CDd3d0cOZK7sfLss89e0SIuGo3S3d3N/v37c67v3r2brVu3\nXrG2hx56SPdRovt47rnnin8fl1rZsmwZn/3bv2Xnq6/mtLId6OvTz6MK7uO55y5v6tr5PqbSfSzO\nfaxbt64q7uNqP49skfTrf/c6e/90b07twkfbPsq/3/rvWTa8LGe2xf5v7udb//VbV9Q2PPTQQ3zh\nK1/gvZH3cNe78bv9jB0eo/cPejk9dppwIsxIbKQk95FV7p/Hc889VxX3AdXx86jE+9i9e3fOe+AV\nK1bw+OOPX/H4hbCmDoDJ6xss6zeBvwS+Dbxx6fLHgF8B/i9jzF8VcX35rqkXOGmMeWSGr3UC/f39\n/XR2di720kSudO4cvPhiZqeioeHy9fHxTC3HQw9ldkhERKpcsbpCBaNBHv+HxznwwQEaXY34XD4A\nwokw0USUj177Uf7ol/+oIncaRMppYGCArq4ugC5jzMBCn2/e7WaNMX9lWdZh4PPAb1y6fBi41xjz\nxuzfWRyWZf0XMknNINAEfAq4D7i/1K8tUhTZWo1wODexUCtbEakyV5s/Mb1Ievrjrvb1rJHYCKmJ\nFDc238jxC8cBcNe7SU+kGUuMsW7ZOiUVIougoDkWlxKITxV5LflaDuwCrgFCwE+A+40x3yvTekTm\nJ1uo3dcHxmSG7o2NZVrZbtyoxEJEbG++3ZmmFknP5Gpfz9ZrNDobcTqcDIWGCMVDpCZS3NRyE5+6\no1xvWURqS75zLJZM/fNcH6VbaoYx5t8YY240xniMMSuMMUoq5EqRSObIUSSyoKeZfgayaDZsyCQR\nExOZ408TE8VvZStlVbLYkapXDbFT6PyJQmXrNYKxINf4ruHejnv50PIPcWPzjWxdv5Xr/NeV5HUr\nSTXEjdhfvjsWFyzLusYYcw4YBWYqzLAuXXcUa3Ei81bkNq7RaLQEiySzlnvugTvv1ByLKlWy2JGq\nZ/fYudp8ipnmT0z//kJaumZnSvQN9XE+ep6mhiZ+5eZfqZlZE3aPG6kOeRVvW5Z1H9BnjEld+vOs\njDGvFmtxxaDi7Rrz+uuZI0bLloHPl6ljOH8+sxtwzz3lXp2ISNU7FjzGjld20OHvwF3vnrweT8UZ\nDA3y1M8/xZrWNVd8X7GG2xWamIjUorIUb09NFiotcRCZNKWNK62X/s+koSFTx3D4cGZ3QLsCIiIl\nNXU+RXanAmafP5GVPT7V3thOh7+DUDxU0HC7bD1GMBrkWPCYEgyRRTTv4m3LsrYCYWPM3067/i8B\n79Qp3SKLKhLJfKxcmXu9qSlTx5A9ciQiIiWTrXfIJgV+t59QPEQgEmDz2s0zvslf6PGpqYq18yEi\n81fIgLztQGCG6+eA/2dhyxFZgKltXKdaQBvX6UNtRPKl2JFCVUPs9KzrYfPazaRNmsHQIGmTZvPa\nzbPWO4zERggnwvjd/pzrfrc/Z7hdPhazcDy7K1KMqd4LVQ1xI/ZXSLvZDjIzJKY7eelrIuVRgjau\njzzyCC+99FIJFivVTrEjhaqG2Ml3/kRWocenpivmzsdcKnFXpBriRuyvkB2Lc8CHZ7h+J1D+lF1q\nW5HbuD755JPFXZ/UDMWOFKqaYqfV28qa1jVXfTOfPT4ViAQIhAPEU3EC4QCBSICNqzbmnQwUc+dj\nLovdTjcf1RQ3Yl+F7FjsBv7Usqwx4LVL1+4D/gR4sVgLEylIkdu4qpOYFEqxI4Wq1diZ2i52MDSI\nz+Wb8/jUTIq18zGXxdoVma9ajRupLIUkFv8JuAHoBVKXrtUBfw18oTjLElkgzYUQEbGV+R6fmkkh\nhePzld0V6fDnnv72u/0MhgYZiY2oC5XUrHknFsaYBPCQZVlfBNYDMeBtY8zJYi9ORERE7GchsySy\n7WILfc1NqzcBC9v5mMti7IqI2FUhOxYAGGOOAceyf7cs6zbgUWPMfyjGwkQqwc6dO3n00UfLvQyx\nIcWOFMrOsVOOoubZXvN3P/G7xFKxos+xWIxdkULYOW6kehRSvD3JsqxGy7IetSzrdeAQ8CvFWZZI\nZRgYWPAQSqlRih0plJ1jpxxFzbO9Zu+J3rwKxwsx33a6i8HOcSPVwzLGzP+bLGsj8CjQA3iAPwL+\n0hhzpLjLWzjLsjqB/v7+fhU2iYiIlEgwGmR773YclmOyqBkgEA6QNmme3vR00d/kl+M1p79+oUe+\nRCrBwMAAXV1dAF3GmAVnp3nvWFiWtdyyrCcsyzoC/E9gFPh5YAL4aiUmFSIiIrI4FqvVa7lfc6p8\n2+mK1Ir51FicJJNQ/DvgO8aYCQDLskqxLhEREbGRchQ1F/qa2Z2Gqc+j5EBk4eabWNxLZur2SUA7\nFCIiIgKUp6h5vq+ZLfR+9eSr/PT8TxmNj7LUvZTbl93OfdffN2uRuY48ieQn78TCGHPrlNqKA5Zl\n/Qx4PvvlUixOpNy6u7t56aWXci9GIkUZvifVbcbYEcmDnWOnGEPuprvam/r5vGa20PtC7AIj0RHq\nHfWMxEZ4f/R9RuOjhBNh7r/p/snXKkeXq0LZOW6kesyr3awxpg/osyzr88DDwFbAAfyZZVl/A+w1\nxpwv/jJFyuOxxx67/JdkEg4cgMOHLycWt90GGzZkJn6LTJETOyLzYOfYKcaQu6x839Tn+5rZidlL\nGpZwcvQkS9xL8Ll8hBNhLsQukEwnefbNZ/neie9N7oQk00m+9e63aG9sp8PfQSgemtwd2bJ+S2H/\nSCVi57iR6lFQu1ljTNgY8z+MMfcA64B+4PeB08VcnEi53X///Zf/cuAA9PWBwwErV2Y+9/VlrotM\nkxM7IvNQDbFTjKLm+bauvdprZgu9XXUuEukE7vpMTYa73s356HmGLg6RnkjT6mnFYTnY89M9PP+T\n52lvbKfd14673k27r532xnb6hvoIRoN530swGuRY8Ni8vme+qiFuxP4KHpCXZYw5DPwHy7L+I9C9\n8CWJVKBIJLNTsWwZtF76P62GBjAmc/3OO3UsSkSkSLK7C9k39cBkcXbfUB8P3vLgvJOWbKF3Ip3A\n5XART8UzOxbjYeKpOC2eFppcTSz1LMXr9DIaH+XI8BHuXHFnzvP43X4GQ4OMxEauugY7HaUSKYYF\nDcibyhiTMsb8r2I9n0hFydZV+Hy515uaIBrNfE1ERIqiFG1ks8ebLo5fZEnDEi7GL3Iuco7QeAiH\n5QADq/yr8Dq9ACxvXA7Auci5nOeZT5ercgwMFCmnoiUWItVo7969mT9kC7XD4dwHjI2B16vdCrnC\nZOyIzJNiJ7eN7FTZN/VAQUeLshOzVzevpsXbwoSZoNXbit/t59ol17Ju2brJxybSCVYtWcXF8YsE\nwgHiqTiBcIBAJMDGVRuvulsxfddlIUep8qG4kUqw4KNQItVs9+7d/Nqv/drlQu2+vszxp6amTFIx\nPAwbNyqxkCtMxo7IPCl2Mm5uvplXT74KXG4je3rsNMsbl/Pl179c0NGi6YXeWS+/9zK9J3oZiY3k\ntKz91B2fwuVwFdTlKrvr0uHvyLk+n6NU86G4kUqgxEJkDl//+tcv/2XDhsznw4fhzJnMTsXGjZev\nF5Na2tpeTuyIzEMtx87UmoTR+CiRZITDw4dpb2zH7/bjb/BzfPQ4q5asWlCXplZva86b+uuWXIfP\n5ZsxgfA4PQV1uVrsgYG1HDdSOeadWFiW5QccxpiRaddbgJQx5mKxFidSUZxOuOeeTKF2qd70q6Wt\niNSwbE1Ce2M7NzbfSKunlcGLg9yx/A6cDidfO/g10hNpRmOjjMZHJ48uFVrQnXW1lrXTE5F8lGNg\noEi5FbJj8SKwD/iLadd7yHSFemChixKpaKXcRci2tF22LNPSNhzO/B0ySY2ISJmVagr1XJ2gvnvi\nu2DItIP1tpKaSHF0+CgAt7bdymBokPdG3lvwugpJIOZSioGBIpWskMTiY8Bvz3D9FeAPFrQakVqm\nlrYiUsFK3Tp1tpoEl8PF0MUh7lx+J2OJMVITqckC7qHQED6Xj9Njp3nuwHOTX6uUlq7FHBgoYgeF\ndIVqAFwzXHcCasosVWXr1q2L92JqaVtVFjV2pKpUauyUunXqbJ2gsu1eV/lXscq/ikgiQjgRpr6u\nnovjFzl49iBjiTEanY15r2sxBtZNVYyBgVdTqXEjtaWQHYs3gX8LfG7a9c+QmcAtUjVKMsl0tsLs\nqS1tGxouX1dLW1vSFFwpVCXGTikG1k03W03CxcRFVjWtIpFOTNZUDIWGJpMCf4Of25fdnte6qnlg\nXSXGjdSeQhKLLwLftSzrTqD30rVNwAZAUS1V5eGHHy7ek12tMFstbatKUWNHakolxs5itU6dqSah\n5/Yekukk33r3W0CmpqLZ3cwHYx9w93V3c2zk2BWvPdu6phaHL6SrVCWqxLiR2jPvxMIY02dZ1t3A\nNjIF2zHgJ8CjxphjRV6fSPXIpzB7MVvaiojkabFap85WkxBLxnA6nDkJx6fu+BSbVm/i9177vcl1\nRZNRYskYY4mxK9a1GLsuIrWuoDkWxpiDwKeKvBaR6pVvYfZitLQVEZmnxW6dOr0701xF0BtXbeTv\nDv8dR4aPcCF2gUgyQmoixS/d+Et4nd7J51jsgXUitSiv4m3LspZM/fNcH6Vbqsji279/f3GeaL6F\n2Y2NsHy5kgobK1rsSM2p1NjpWdfD5rWbSZs0g6FB0ia96K1TZyqC7lnXQ3tjOydGTxBJRmh0NbK6\neTXnIudyCrhnKw4v1cC6xVapcSO1Jd8diwuWZV1jjDkHjAJmhsdYl647irU4kXL70pe+xL333rvw\nJ1Jhds0pWuxIzanU2KnU1qnRZBTLsviFG34Bn8uHx+nB6/QSCAdyjjhV+8C6So0bqS35Jha/CGQn\nbf9CidYiUnFefPHF4jyRCrNrTtFiR2pOpcdOsYfILdTUI07u+sv1HzMdcarmgXWVHjdSG/JKLIwx\nr870Z5Fq5/V6r/6gfKkwu6YUNXakpih25mc+heWVuutSDIobqQR5JRaWZX043yc0xvyk8OWIVDEV\nZouIFF0hR5wqbddFpFrkexTqIJn6Cesqj1ONhcjVKKEQESmqaj7iJGIneXWFAlYDN176PNfHjSVY\no0jZbNu2rdxLEJtS7EihaiV2gtEgx4LHJidoL0T2iNPTm57mqZ9/iqc3Pc2W9VsqYpp2Me9zLrUS\nN1LZ8q2xOFnqhYjkJdu2dZF+69/R0XH1B4nMQLEjhar22IklY+w5tIe+oT7CiTA+l4+NqzbSs65n\nwYlAJR1xiiVjfPXHX+W1k6+RmkhNHtkqxn3OpNrjRuzBMmamzrF5fKNl3Q50AK6p140xLxVhXUVj\nWVYn0N/f309nZ2e5lyOFSiYzk6sPH76cWNx2W6bw2eks9+pERGSaYDQ4Y4H0roO72Hd0H+2N7VfU\nQ2xZv6WMKy6eWDLG57/9eb57/LvU19XT6Gyk2dNMU0MT//y2f1419yn2NzAwQFdXF0CXMWZgoc83\n78nblmXdCPxv4A5y6y6yGYpqLKT4DhzItGpdtgxWrszMg+jry3ztnnvKuzYREZmU3ZHoPdHLhdgF\nmj3NbFq9iZ51PUSTUfqG+mhvbKfd1w4w2clp6swJu/vqj7/Kd45/B6/TS4unhXgqztnwWaC67lNk\nunknFsCfACeATZc+3wW0Av8f8B+KtzSRSyKRzE7FsmXQeuk/xA0NmXkQhw9nuiypGFpEpCK88JMX\n+PP+PyeaiGJhYTAcOn+IZDrJfTfcNzlzYqqZZk7YVTAa5LWTr+Gsc9LiaaG+rh6fywfAhdiFyZ0c\nu9+nyEzyLd6e6m7gd40xw8AEMGGM2Q9sB/60mIsTAS7XVfh8udebmiAazXytRI4cOVKy55bqptiR\nQtk5doLRIM//5HlGoiM0uhpp8bbQ6GpkJDrC828/DzA5cyKajBKMBokmozPOnLCrkdgIqYkUXqeX\neCo+ed1d7yaSjFBfV1+S+7Rz3Ej1KCSxcABjl/48DKy89OeTwNpiLEokR7ZQOxzOvT42lhkyV8Ld\niieeeKJkzy3VTbEjhbJj7GQ7Hw2cGWBobIil7qX4XL7J39YvdS/l1MVTXIhf4K6Vd/Hm6Tf5+6N/\nT+/xXv7+6N/z5uk3uWvlXVXxW/xsTUmrt5VIIkI4ESY1kZpMOD5x/SdKcp92jBupPoUchXoHuJPM\nMag3gCcsy0oA/xY4XsS1iWRkC7X7+jLHn5qaMknF8HBmcnUxEotZuk0999xzC39uqUmKHSmUnWLn\nVOgUL7z9AofOHyI1kSKaiDI2Pkajc5b/Lhswl0oyLSywwDLWpS8V1kwmX7MVkxdbtvtTIByApswO\nRiAcIDmR5J/c+E945COPlOR17RQ3Ur0KSSx+H8j+F+N3gW8A3weCwENFWtesLMvaDvw6cCsQA14H\nfscY87NSv7aU0YYNmc+HD8OZM5mdio0bL18v1FW6TRXUvm+RW+JKZVLrRymUHWInW6D9tR9/jXcv\nvEuTq4kbm2+kxdPChJngzNgZXA4X7no38VSc0HiIDn8HzZ5mDpw+wF0r76KpoYlYMobH6WFsfIwD\npw/wG7f9RtHf9Jeyve1spg7sOz12momJCe674T4+/7HPl+w17RA3Uv3mnVgYY/5hyp/fBW61LKsF\nuGAK7V07Px8HngV+RGb9TwMvW5Z1mzEmtgivL+XgdGa6P915Z3HftBez25Ra4opIjdhzaA97Du0h\nEAmwzLsMR52D4xeO43Q4WbdsHYfOH+Li+EWiySgYaPY086k7PgUwWbztrnfjdXoBqLPqSla8vefQ\nnsn2th3+DkLxEPuO7gMoWdtXj9NDz7oewokwoXiI1ESK9y68x55De0qa0IiUWyE7FlcwxowU43ny\nfK0Hpv7dsqzfBM4BXcD+xVqHlEkxdwGK3W1KLXFFpAYEo0H6hvpY0rAkM6PB1YgxhnhdnBMXTrBx\n1UbG0+OsaFxB2qSvaDebLd7OtpkFSla8nV1rOdrbZlvuTp3XUeqERqTc8i7etizrq/l8lHKxs1hK\nZobGoiU3UiXy6Db1zDPP5P9cU5OUhobM57a2yzsYUlPyjh2RaSo9dkZiI4QTYZY3Lqe+rp4PLn7A\n8QvHORs+y1BoiIGzA9y+7Ha+fP+X+cNf/kP+6Jf/iC3rt+Bxei7XH0QCBMIB4qk4gXCAQCTAxlUb\ni/4mP7tWv9ufc93v9hNOhBmJZd46ZIvPg9FgUV53ekLjrnfT7munvbGdvqG+or3OVJUeN1Ib5rNj\n8ZtkOj/9mMtD8crKsiwL+GNgvzHmp+Vej9jM1G5TDQ2Xr0/pNhWNRvN7rmySsnJl7vWmpkxNSPZo\nlNSMvGNHZJpKj50WTws+l49EOoFlWQxHh3HXu3FYDlKkeH/0fe5YfgdrWtfM+P1T6w8GQ4P4XD42\nr908eb0Ua51th8RT72HXwV1Fr7/IJjRXm9dRzILySo8bqQ3zaTf754AfWA38I/CoMebXp3+UZJWz\n+zPgduCTV3vgAw88QHd3d87H3Xffzd69e3Me9/LLL9Pd3X3F93/2s59l586dOdcGBgbo7u5meHg4\n5/qOHTuu+M3B4OAg3d3dV/SZfvbZZ9m2bVvOtWg0Snd3N/v3557s2r17N1u3br1ibQ899JDuo5D7\nePhhjni9cP58psPU+DjPvvgi2/7qrzK1EY2NPPXUU/ndx5Qk5aEvfYm9P/xh5vqlJOXlH/5QP48a\nu4+nnnqqKu5jKt3H4tyH1+ut6PvI7joMhgYZeW+E1N+kSEfSxFIxljYs5ba22/jR3/yIHf95x4z3\ncfK9k2xZv4WnNz3NUz//FDf+7EbeeeGdnDfyxbqPrZ/cesUOyf/88v/kjb9/g42rNtJ7opd9R/cx\n8t4IB/7rARIXE+w7uo89h/YAhcdVNqEZHh1m9xd2M/j2IHA5ofmHvf/Axzd/nO2929nxyg62925n\n18Fd/It/+S8KjqunnnqqJv73ofso/D52796d8x54xYoVPP7441c8fiGs+dRbW5bVAPwG8AhwD/BN\nYCfw8iIVbk9dy3PAPwM+bowZnONxnUB/f38/nZ2di7Y+sYmpBdfRaGanotCC69dfz9RUtLVd2RJX\nNRYiUkViyRjPvvEs/33gv+NyuHDWOVnmXcYd7XfQUN/AYGiQp37+qVl3LRZ7rTN1hdq0ehO/99rv\n4bAck/UXAIFwgLRJ8/Smpxe0i7Dr4K7JovFsjUUgEmDz2s2EE2H2Hd3HtU3X0u5rz/ma6i9kMQ0M\nDNDV1QXQZYwZWOjzzat42xgzDuwGdluWdT2Z41F/BtRblrXOGBOe6/uL5VJSsRm4b66kQuSqitlt\nqlQtcUVEKozH6eHRzkd55/w7JNNJVvlXTXZ4CoQDFTVF2+P0sGX9Fh685UHeG3kPLLip+aa8jyvN\nZuoxJuCKI00zHfl64OYHGImN8N/6/xvpiTTBaJBV8VWsW7Zu8rGlLCgXKbWFdIWaIFN9F+hHAAAg\nAElEQVQ0bZGZxr0oLMv6M+BhoBuIWJaV/TVDyBgTX6x1SIVZ6OyIWb5veHiYtra2/J6jVC1xxZbm\nFTsiU9gldlq9rWxavYl9R/cxNj7GeGqcc5FzXBy/SM+6nop6cxxLxvjGz76Rs2txZ/uduOvd8+5Q\nNXUHZDQ+yrnwOZITSfwNftoa2yY7YE1NaLJJxzd+9g2+/e63SU+kafW2kppIcXT4KAC3tt26oJa7\ndokbqW7zqbHAsqwGy7IetizrO8DPgDuAx4COxdqtAD4DLAFeAU5P+Sh+1ZdUvmQycwTpxRcvf7z+\neuZ6ETzySAETUhsbYflyJRU1rqDYEcFesdOzrocHbn6Aw8OH+eaxb3Lg9AEiyQiJdIJYsnJGS2Vn\nWTgsBx3+DhyWg94TvTgsx7w7VGVneIyNjzEcHead8+/wk8BPOBg4yIEPDvCnb/4pz//k+cnHt3pb\nJ4+E9Q31sbJpJUsalpCaSOFz+XDUOTh07hA/G/7ZgnZ67BQ3Ur3y3rG4tFPwSWAI+CrwsDFmeO7v\nKj5jzLySIalyJZ4d8eSTTy74OaQ2KXakUHaKHY/Tg9PhpNHVyIaVG1jeuJxEOsG33/02LoerIuoF\n5pplMZ4eZ9PqTbwVeCuvDlWnQqf42o+/RiASAGDo4hATZgKv08uEmaChvoELsQu88PYLV0wRn3r0\najQ+yk/P/ZT3R98nPB4mZVJ8MPYBd628C6vAxpt2ihupXvM5CvUZYBA4DtwH3Jfp9prLGPMbxVma\nyFUUe8DdDFTwL4VS7Eih7BQ72TftHUs6cgqg4er1AsVstTqXq9VS3H/T/XzyQ5/May0vvP0CPxv5\nGf4GP3VWHcl0Znd8wkwwYSZwOVz4G/ycuniK90bey3muqa1v1y1bx8EzBwnFQwDU19WzpGEJR4NH\n+Z3v/g7/o/t/zPs+7RQ3Ur3mk1j8NZmaCpHKUC2zIxZaHyIiUiaFFEDP1qWp0NkRV0tQrjbLIvt9\n0783GA3y3oX3wMBNLTdxeuw0Xz/0dSKJCPFUnDrqmDAT1NfVE0/FaXI14axzTiYb0zcesm169x3d\nx2h8lIuJi3idXurq6mjztHHtkms5FznH9we/z7HgsYroqCUyX3knFsaY3yzhOkTmL48BdxVtaqvb\nbGJRaKtbEZEyyOdN+3TZeof2xnY6/B2E4iH2Hd0HMK+jU/kmKFPf0ANXtH6dKfF54Scv8PxPnudk\n6CSpiRRuh5ukSRIIB6iz6kibNA2OBowxJNNJ6urq8NR7GE+PMxof5fql13NT801XrDl7xOrrh77O\neGqcRlcjLZ4WlnmXAbCkYQlnwmd4f/R9JRZiS6pXkPKJRODcucznQmTfiE8ZcMfwcObj0oC7hZo+\n7KaosvUhDkdm18XhyPz9wIHSvaYsmpLGjlQ1O8VO9k17vgXQ0+sd3PVu2n3ttDe20zfURzAazPu1\nZyrInjrcbqqedT1sWr2JkdgIx4LHSJs0m1ZvovOazpzXDEaDPPvGs/zJG3/CO+ffITQeIhgLciJ0\nglOhU1hYeOozSUvapGmob8BgqLPqqK+rJ5KI0OJt4dN3fHrG3ZNsp6gn73uSdl87S91LWeFbgaMu\n01zz4vhFPPUeblh6Q97/Dll2ihupXgtpNytSmKv9pn4+R4NKPDtiYGCARx99tCjPlWMR6kOkvEoW\nO1L17BY7M81rmK0AeqGzI7KmJihNDU1EEhGaGpom1zG1tiO7s/FW4C1SEymwMtf6z/TTN9SHz+Vj\nw8oNWFi8Nvga3z/5/cni7CZXE+OM47AcJE2SCTOBweCp92Bh0eZt41z4HNf5r2PVklW0+9on283O\ntu6R2Ag3tdzEptWb+Oaxb3Iuco4lDUu4OH6R0fgov7rmVwvarbBb3Eh1UmIhi2+2Tk6pFNTXz+9o\nUIlnR3zlK1+Z+wGF1kdUS32IzOqqsSMyC7vFzkzzGmZLDgo5OjWTkdgIo/FRIokIZ8NnSaQTuBwu\nVvhW0OhqzElQph69WtO6hjdOvcEPgj/g1rZbuevauwjFQ/xF/18AcEvLLQCk0iksyyKRTgDgrHOS\nmkiRNml8Lh/j6XGiySjEodHVyA3+G2hqaOJj135sxlqRmY5trV+xnvREmtdPvc6Z8Bk89R5+dc2v\n8swvPTO/H8AldosbqU5KLGRxzfWb+m9/G3w+uPba+beOXezC54XWR9i9PkREZJrZCqCnJhtXq3cA\nOBY8NmNyMvW5WjwtnIucYzA0SIunBb/bTzwV5/DwYTr8HZMJyvSdjexzLHUvJRQPMWEmaGpoYiw+\nRtqkaXQ10lDfgGVZ1Fl1JNIJjDGkSVNHHcYYvPXeyVqItElzS8stfHjFhwnFQ3zr2LeIJCI82vlo\nzvpnqivpPdHL5rWb2f7x7bw/+j43LL1hzp2KxeqiJbIQSixkcc32m3qnE06ehI99zB5HgxY6PyOb\niPT1Ze6xqSmTVAwPZ45yVdK9iojM01yF1TMdnfqnN/9Tkukk23u3X/F44IrnurP9TtITaYzJbVY5\n/e/TdzbGEmMMR4Zp9jRjYTE2Psax4DHORc8xYSb4wdAPcDlcOOocJFKJyedJk56sr0hMJDgTOUMi\nlZg8hnXo3CEsLI5fOM7R4FHeOf/O5JGoaDI6mdzU19XzwcUPWOpeOllX8uAtD86ZUBS7i5ZIKSmx\nkMU122/qg8HMG+y2ttzHV+LRoGLVR5S4PkREpFyu1vlp+tGpb/zsG7M+Hpjxa+PpcW5fdjtnw2cJ\nxUO4HC5uX3Y7Ppdv8ijU9J2NZnczI7ERzkXO0epp5WToJCcvngQysyScdU5iqRht3jZOXzxNmvSM\n99fmbSM1kWKFbwWpiRQ/OvMjzISh2dOMw3IQToR54e0XCCfC3H/T/QSjQd4deZcPxj4gmU7idDi5\ntulaVvlXMXBmgM5rOuec9F2MLloii0GJhSyu2X5THw7DDTdkjhhNVeajQd3d3bz00ku5F4tVH1Hi\n+hAprxljRyQPdo2d7FEdYNZJ11MLq7Mfc03G7j3RC3DF1+KpOIOhQW5fdjvrlq8jlozhcXoYG88c\naZpaq5FMJUmkEpm2sS43PpePaDJKPB3n5OhJnHXOyd/81zvq8VpeJiYmcDqcWGkLt9ONp96D2+km\nmU4SToTZuGojR4NHiafiuOvdhMfDJCeSxFNxUiZFNBnF5XDx7JvPEk6EeTvwNh+MfYDX6aWpoYl4\nMs7h84c5GTpJg6Nh8ojY9F2Iuf5tphep2zVupLoosZDFN9Nv6n/hFzLF22+8UVFHgx577LErLxa7\nPkIJRVWaMXZE8mC32Jl+VCc9keZk6CQbV23MedxsnZ/m6hR16uIpAFY25f4iJ9uq9fTYaTz1nhln\nU8SSMXYO7ORM5AwTTDAYGsRV56LV28qaljWMxEa4ELvA8sblfPSaj2Jh8cHYB8SSMYZjw5l2ss4G\nGuobaGxopNXTymhslKGxId4+9zaxVIxwIowxhmgymqnJsBJgIJwI0+xpJj2R5qUjL3Eueg6H5cDp\ncFJn1ZEyKSaYIJFO0OppnWyVC7m7EPPpomW3uJHqpMRCFt9sv6lPJi93haqQo0H333//lRdVHyF5\nmDF2RPJgt9iZflQnEA5wNnyWgTMD3HfDfZOPm63z02ydogLhAI46Bw2Ohhm7SN2+7Ha6runircBb\nM7a53XNoD6+efBVXnYtUXQoLi3AyjHPcyc0tN7OmdQ2pdAq3080y7zI8Tg+3LruVfzzxj5wOn54c\nfpdIJwjFQwxHhpkwEyTTSZLpJNc2Xcu7I+9yYfwCBoMxBseEg6XupdTV1XFx/CLtje1gQTKdZFnj\nMsZTmW5SiVQCb70Xy7KIpWLc1JIZpjd9F2K2f5uz4bOkJ3KPadktbqQ6KbGQ8pn+m3o7HQ1SfYSI\nyIxHda5fej03Nt/IiQsnuH70elb4Vsw56Rrg5uabefXkqwDUWXX0n+nng4sfcO2Sa3FYDg6dP8RH\nVnyEa5dcm/NcW9ZvmbFbUnZdHf4OzoTP8MHYB7jr3TQ6GxlLjHF4+DAP3PwAjjoH3zn+HZx1TrzO\nTLen4xeO46xzYuoNsVQMYwwGQzwVnxyGF0vHOBc5R9qkcVgOJsxE5jMTjKfHceEikogw6hglnoyT\nSCeIJWOsbl5NNBnl9FgmcbEsi6XupcDMuxDTu2h5nV4Gzgzw/uj7tPva+fLrX1Yht1QUJRZSeSo5\nocgqVRJU6FwMEZEymO2ozkdWfIRoMkosGZt1aN7UI1Sj8VHGEmP84/v/SDAaJJqK0uTKdFwaT48z\nHB0mGA1y/dLruX3Z7TnPNb3NbTAaZODMAMFokOuWXIcxhjZvG/FUnOREkjrquGHpDRwbOUajq5HV\nS1dzIXaBSDLCucg5khNJVi9dTTgRZjA0CBZgMpO26616ljcux7IsQuMhIFP0XWfV0epp5Vz0XGZH\nIp3AwqLVmznm1BhrZHR8lKHQ0GTBdyKd4Na2WyfXPtuOztQuWn1DfZwNn+XG5hsn/41VyC2VRImF\nyBz27t3Lr/3ar83+gGIlAIXMxVASUtGuGjsis7BT7Mx2VCeajPLh9g+z7Z5tk4+bvlMx9QjVjc03\ncj5ynpHYCJZlcePSGwknwrw/+j6t3lau919PJBnBXe+m65quGd9ET01UgtEgh84f4tTYKRLpBNcu\nuRZjDKHxEA7LwYeXf5jvvf89NqzcwNq2tZNJ0PHR43z/5PeZMBM0e5o5Hz1PeiJNciIJBlq8LbR4\nW4in4rgcLpa6l3I+cp6LiYu0eFuoq6vjbPgsxhiWNS7D5cjsXNyz6h6OXTjG2bGzk5O7l7qXcmf7\nncRT8Tl3dLIDCO9ZdQ9f/N4Xua3tNq5fej1AzrTxuqN1/OuH/nVRf74i81VX7gWIVLLdu3cvzgtl\n52I4HJluUw5H5u//P3vvHhxXfeZ5f0+fvl/UrfvNkiXbsnzBFySM8SUEYoYMZBA7ky0Mm2Iow25N\nZoHspGrMTDKpAaZSw2vqTSbvC8ns7A5hSDYxkK1ZMBMyOBCIsQzGSJaNbcmWr5ItqaXullrq++3s\nH4+P+qJuqdVq9UV6PlVdrT59+pznHJ44v+95bidOzNw3GASOHQNefz36OnZsZkctJq/kzHeYJUcx\n+Y6cqmN1W2F1WeEL+WB1WWF1W7GrYRdaylvQUt6SdNhdbApVRIpg0j+JEk0JQuEQVKJquuOSP+SH\nWlRDI2pQa6zFKesp2D32GbbIQkUURLSUt6DOVIdrE9coGnEz8hGOhNFc2oypwBQAoMpQBYBSjMr1\n5VhTugZapRbjvnGEwqHpblBapRbVxmq01bbBFXABAHRKHbwhL9RKNepNJFxEQUSJugR6tR46lQ6S\nJGFN2RqIChEGpQEmjQktpS14ctuT+N6XvgeVqMKAcwBhKTwjopMMUSFOp5zJmLVmuAKuovIbZunC\nEQuGmYU33nhj8U8y37kYCx3Ox+SEnPgOsyQpNt9JNvBurkVyYgqVN+hFIByAWWOGw+PAVIDaxmqU\nGgTCAbiDbmhEDaoMVRjzjM3oLJWs1mPHih0AgN6xXljdVlg0FqwqXYVKfSWGpoawomQFAuFAnF2B\ncACt5a2Y9E8iEA5AVIjw+D3QKrXYWLkR9aZ6WN1WmNQmeINeXBq/BLVCDaVGiWAkCJ1Sh31b9+GC\n4wKC4SAazA24YL+A87bzEAQBVYYqrCpbhe6RbjzY+iBe2PNC2tO0U0WH5BSql3750jz+qzHM4sDC\ngmHyzXzmYqQSIT4ftepdswaoqsqt/QzDLGvkVJ3YgXfzXSTrVDqoRTW8IS9KNCWIRCKISBF4g14A\ntHheVboKTn98HYJcuD3uHZ9R66ESVbi9/naY1Ca0lrdixD2CUCQEQRDw0MaHEAgH8JuLvwGAuHa1\nf7rlT6EW1fjgygewuW1w+p1QiSqUaEsgCAK+dfu3sKd5D35y4idw+p2ISBEoFAooJAU0Kg2qjdVo\nMDfg7fNvY9Q9iqvjVyEIAiRJQpOlCSstK2F1WdOauh1LYiF3sha7DJNvWFgwTL6Zz1yMRBESCgH9\n/cCVK8DYGG3bvn322gyGYZgYknVVyoTEIuq5zrelesv0ADyz1owSTQmGXcNoKWuBUW1E93A3bB4b\ntWQNejHhm8DZsbN4YO0DECDgtZ7XpmdnKBVKDE0NwaAyoL6kfvpcTp8T1cZq/NXuvwKAuOv0Br1Q\ni+qkkRadShcnlGJ/q1fp8dOTP8W/9v0rwpEw9Co9LFoLmkubIUDAiaET+Ns7/xYA8G7/uxj3j6NU\nW4omSxM2Vm6cvt5kMz3mIpPoEMPkEhYWDJNv5jMXI1GE9PdTBCMSAYzGaG0GwGlRDMPMSuJgO6Pa\nuKitSxPPp1VqUa4rhz/sx4BzAM2lzVhTtgZhKQxfyIcmSxN8IR8CoQDUSjUUCgUEQUDPSA/+6v2/\ngt1rn56d4fQ5MRWYQvdIN5QKZdKn+Yl1GXNFWhKFkvz3az2v4VfnfgVv0IsyXRkmfBO45ryGS+OX\nUK4rh06lw7hvPK7gWq/STxdcA6k7QM1FJtEhhsklLCwYZhb27duHV199NfmX2ezKlO5cjFgR4vMB\nly5RpGJ8nFKj+vtJmHzxxczaDCanzOo7DDMLufKdxMF2Tp8z661LY6Mh/3bh32acz+q2Yk/zHty7\n+t7pRbLdY8clxyX84JMfYMI3AY1SA7Wohkqhgj/sx6R/Eh9d/Qi7G3dP11NojVq01bSh39EPd9A9\nnTL1YOuDeGDtA3HRjUQBlW6kBQCuO6/j1ZOvYsg1hMnAJOxeOwQI0Cg1CIaD8IV8mPRP4si1I9hU\nvQkt5S24c+WdePv825AgpTXTIx2S2cz/5jCFAAsLhpmFpJNMM2kNOxfzmYshi43jx4ELFwCvF2hs\nBFauJNsGB0l0xNZmMDmHp+AymZIL30lW7CwXBCdOf86ExOiEUqHEgHMALWUtM853ynoK966+Fw6v\nAwAtmh1eBzxBDwQIMKqNUCpouSIIAia8E/CEPFCJ8f/eluvL4Q668dTtT6FUWzotVF7reS1rAuoX\nX/wCF8cvolJfiZAmhOtT1wHQLIuIEEEoEkKTpQmnrKdw3XkdH1z5AF3DXZj0T2LAOQCL1jJjDke2\n4H9zmEKAhQXDzMIjjzwyc+NidmVKJ/ohi5DaWuDTTwGtloQFQH9PTgIOx8LsYBZMUt9hmDTIhe+k\nGmyXae5/IonRkGsT13DJcWlGDYRepUfnYCe+97vvQVSI09GEPc17UKornZ54bVQbAQC+kA8KhQIG\nlQHBcHyLbTm9aHXp6hkTuLMhoOTZGCa1CaJCRJmuDDavDcFwEJ6gBwa1Aa0VrVhfsR7DrmH84otf\n4PiN46g2VOOuprtgdVlxY+pGyjkcC4X/zWEKAZ5jwTDzIbErk0ZD7xUV0QhGrjAYSNhEIiQmgsHo\ne2lp7uxgGKboiO3KFEumuf+xJC7mtUotGswNMKqNuDJ+BZ6gZ3rf7uFujLhGoFfp0WhuhCiIePv8\n2/jgygfY07wHerUedo8dTp8TTp8TDq8DJo0JdzXdBaffmXR2RqxQkAWUWWuOs1Ge/SBHSdLB4XUg\nFAlhVekqTPom4Qq6oBE10Kl0UIkqbKrehNvrb4cn6IFSocTZsbNx92ClZSVWl65OOYeDYZYCLCwY\nJh3cbmB0lF5uNxVKx2IyAR5PtO5C3m8xMRiAdesoBSoSoShFJELRi3XrOA2KYZiUzDXYbiHRimSL\neb1Kj1WlqzAVmMKgcxC+kA9XJ67i6sRVrCpdhZWWldND6MwaM97tfxdttW348/Y/x0rLSkwFpjAV\nmEKjuRHfbP8mDtxzAA+2PoiwFJ51wFw2BVSZrgxapZaG7UX8GHWNwhPwwBP0wKg24paKW6bv4S2V\ntyAUCWVF0DBMMcGpUExxkc2C6TQ4+tFH2K1WR6MRSmW0uLo6Zvrp1BSgVgNnzlDr12zVXsyGwQBs\n2kRRihUr6BzBINmyaRMLizxz9OhR7N69O99mMEVIrnxnsVqXphrkVmeqgzvonp427Ql4YNaasa58\nHQAgGA7i7NhZXBm/ggnfBL5/5Pu4v+V+/K8//l8Ycg0BErC6LJrmlE53pGzOfijXl0MURFxwXIBF\na0GFrgLjvnHYPXZYtBaM+8en7+Ge5j24OH4x5TC7hUSEUsH/5jCFAAsLpjjIVsH0PIXJi9/7Hnbf\ndx9FKCoqoulGJ08Ct90W3xq2pATo6srtROzYblIeT+puUkzOefHFF/n/5JmMyJXvLFbr0lSLebvX\njn1b92FP8x788otfomu4C1OBKXx49UO0VrQiHAnjouMiBEFAqbYUOpVuziLrdDo6ZUtA2T12hKVw\n3GTuUm0pVppXotZUi7+44y/i6jtyPcyO/81hCgFBkqR827CoCILQBqCrq6sLbW1t+TaHyZRjx6IF\n00YjLdrHxmgRnc6iPRNhMjEBz/e/D73dTvtoNEBDA2A2A1ev0t/hMC3mm5qAixdpH4OBujJptWRn\nJAI8/PDiRhByHMlh5sbj8UCv1+fbDKYIKUbfSRyyN9uMjNjC7gHnAM6NnUNEoknbJo0JkiShtaIV\nW2u2wuqyIiyF8cKeF2YsxlMN9pvv9nTpt/fj2Y+eRaO5cXoquE6lg0JQoN/ej2/e9k201bZNHzvX\nc0KK0W+Y/NPd3Y329nYAaJckqXuhx+OIBVP4JBZMA7SAlySgp4e6I1VVzb6gzqSTU2cn9P39JCCM\nRhILvb3AmjV0jPvuiy7k3W7g9GmKXIyMAH4/2VhTE/1+MRf8LCgKDv4/eCZTisl3Zls8J4uGxBZ2\nmzQmNJobIUHCedt5WN1WmDVmrKlYM+uEam/Qi5+e/CmOXDuCUCQ0HSF5YO0DeOfCO1mZV5GM2BSv\namM19Co9guEgjg0ew7BrGP/98/8+bYt8zlwOsysmv2GWLiwsmMJHfhpfVxfdFgoBN24A587RcLia\nmtQRiNmESW9v/CA5+VwAcO0a7S+KdEyVin5z8SKdJ1HMjI7SwLq6OqCsjITIqVPA6tW86GcYZkky\n15C9xMW8w+vAhG8C7oAbI64RBMIBqEU1GswNCIQDWFuxFpurN0/vn1iT4A168a3ffAu/vfxbqBQq\n6FV6jPvGYXVZcXTg6Ixp3Nkc+Jcsxev49eM4bz+PdRXr0FLekvScCxU0DFNMsLBgCh/5abzLRYIA\noAnTp0/T9qYmSnVKFYFIJkwAqo8YHqbv1Or4VKlwGBgYoGNfuUL763R0HoeDOjElEwuCQOIDiL4z\nDMMsQTKZEVGmK8OoaxTXnNdQri+HWWuGL+TDtYlr0Cq1cHgduDZxDdXG6qQ1CT89+VO8d/E9qJVq\nlOnKEJbCGJ4aRlAfxHn7edyx4o5FGfgnE1uv0W/vx7BrGOsq1mHHih1QiapFOSfDFBPcbpYpfOR6\niLExSjVyOkkAALS9pGT2WRKxwiSWqSmqjzAYoqlSokgCRK8Hrl/H/l//ms4ht3P1eoENG6i2Ixa3\nmyIYmzbFt37dvJm6R+VyvgVTEOzfvz/fJjBFSrH4TsYzIgSaoC0TiUTgCrow5Z+CK+DCJ9c/wUdX\nP4I/7I8rsr7uvI6fnfoZJvwTcPqcGHAOwBVwQafSweaxwR1wQ61Qz8+WeSKnN72w5wV887ZvYmPl\nRtxef3vcFPB8tZQtFr9hljYcsWAWRq6KhmO7Hw0MUJrRli1AS0t0n9gIRKwtsjDp7KQoQmwnJ1kg\nJKZK1dUBa9ei8eJFEi7btwN2O4mTu+8GLJZ4+wwG2q+0FGhtnVm8zalQy47Gxsa5d2KYJBSL76Rq\nKztbS1WH14EqQxUMKgNGXCNw+pyYCkxBhAiD2oC2mjYEIgEMTQ3NmFD9yy9+icHJQagUKogKEYIg\nwOaxoVRXinA4DJWoQiASiDvfYrV3LdeXTxdq57Kl7GwUi98wSxsWFkxmZKv9a7qoVJTitGUL1TJY\nLBRVUMa4cGwEIpFYYSLPoZDbso6PJ0+V2rQJT3s8FKUIBqmAe9u25K1c5xIvLCyWHU8//XS+TWCK\nlGLxnUxmRJTpymDRWlCuK8fGqo0Y947jsxufQa/SQ6fUwaKzTP8tT6iWi767hrugU+qgFJTwhDxQ\ni2ooFUqMucdgUptwd9PdmPRPwuqyLlp718TOUrluKTsbxeI3zNKGhQWTGZl0WcoGBgPQ3Axs3Tq/\nRXysMEmMsCSr4QBIUNxyC/DAA/H7pSJRvIgipU1t2JCda2cYhikw5jsjInExLggCPEEPBAhoKG+A\nXkWdjWK7QelVevxz9z/j8+HP4Q154Q7QkL1wJIxAOIBgOIgdK3bgR3/4o+muUNkc+Aek7n71wNoH\n5nX9DLPUYWHBzJ/5dFlaLGaLQMxGMnEwV7Shqio9m2TxsmEDHevaNeoSNTKyuNEchmGYPJFJS9VY\nMWL32CEqRNQaa6dbzAKUTqRUKDHuHcfhS4dxZOAI1Ao1DHoD1KIaE74JqFVqlKnLUGOswQ+/+kOU\n6csWrb3rXN2vctVSlmEKHRYWzPxJp8vSYguL2SIQmZBCqPSZTFg332OdO0ev2GF+uYjmMAVFX18f\n1q2bt/cwTFH6znxaqiaKkcOXDuODKx/gxtQNqBVqeENenLOdg0ltwoHOAzg7dha1xlqsKVuDi46L\nqNBXwKQ2wRP0YHXZanxj0zewwrwiI1vSId3uV/kWFMXoN8zSg7tCMfMnnS5LubRlruF46SALlYcf\nBvbupfedO/HM3/zN/I6TGM3RaGbvWMUsWZ555pl8m8AUKcvFd8r15Wgpb8EjtzyCcl05Pr3+Kd67\n/B7ev/w+7B47ao21UCqUCIQDuDF5AwDQWtEKSZIQlsIQBAH3NN+z6GlHGXe/yjHLxW+YwoYjFsz8\nWcqFygmRj5dffnl+vy+EaA5TEMzbdxjmJsvNd9658A7sXjt2rNiBiBTBsYFjmAhM4JPBT6BT6TDp\nn4RG1OD65HX8weo/wNrytRh0DkIlqvBE2xPQqXSLal8m3a/ywXLzG6Yw4YgFk1WXJzEAACAASURB\nVBnbtpGIiERowRyJpFfjUGTMu31fIUVzmLzCrR+ZTFlOvhObZrTSshIlmhJ4w14EQgG4gi6UaEpg\nUpvg9DsxNDWECe8EpvxT8If92NO8JyfpR3LBudVthdVlhS/kg9VlhdVtxa6GXXlPgZJZTn7DFC4c\nsWAyI9s1DkuFxGiOWk2RHHn+Ra7vUa7mjDAMw8wTu8eO7uFu2D12tJRHZxL5Qj4oFbQ88Ya8qDZW\nwx/2wxP0YNg1jFpTbc47L823+xXDLFdYWDALY7ktWNNZqG/bBoRCwG9+Q52hJAloaqJtwWBuOkPl\nes4IwzBMmsS2brV77Dg7dhbjvnHsWLEDAKARNXB4HQhLYYQjYYgKEaJCxKrSVfjW9m9ND6bLJZl0\nv2KY5QinQjHLC7ebBuylWUR94MAB+iMYBI4dA15/Pfo6doy2J6JS0eA+oxG44w7ga1+jadzHj9Ni\nPxfIc0ZEkeo9RJE+5+r8TNR3GGaeLGXfsXvseOn4S3jz7JsQBREt5S2oNdaiz9aHT65/gkgkAlfA\nhUA4gEgkAm/IC3/Ij1AkBKPKmBdREYtccF6IomIp+w1TPHDEglkeZPgE3+Px0B/zGQgod4aqr4/O\n+QByN+ejEOaMMFHfYZh5shR9R45SfHDlA3QOdkKtUEMlqlCmK8POBvo3dGhqCA6vA/6wHyqFCgaV\nARFEEIqEoIACCgU/C52Npeg3TPHB/ytllgcZPsF//vnn599CVk6XMhrjt5tMgMez+C1n831+BsBN\n32GYDFiKviMPmAuGg9CIGmiVWpy3ncfZsbNQiSpsX7EdLWUtMKvNqNJXwaw1wxvywhPyIBgJIhKJ\nwKQyFUxr10JkKfoNU3wUnbAQBOFLgiAcEgThhiAIEUEQOvJtE1PgLHS2xHwX6vnuDJXv8zMMw8QQ\n2/mpwdwAnVIHUSHCoDZg0DkIT9ADp88JvUoPk9YECRIC4QBMGhPKtGUoUZfAH/Fj1DNaMK1dGYZJ\nTtEJCwAGAD0A/isAKc+2MMXAQp/gz3ehLqdZjY1RRyi/n95tNtqeC2GRz/MzDMPEEDtgTq/So8Hc\nAHfAjXAkDG/Qi0HnIKxuK+5ceSfKdGUIS2FIkCAqRKhEFSRIECBMd4paCHaPHf32ftg99ixcGcMw\niRRdjYUkSf8O4N8BQBAEIc/mMMVArDDQaKLbUwmDmM5PNq8XFRUV8x4I6N6wDe5xFQzXzsHgGqbz\n5HLOh3ye3l6aM5Lr8zOw2WzkOwwzT5aa7yQOmNtYuREAcMF2AYFIACpRhT9c84d4aONDcAVc+ODy\nBzCqjfCFfPAGvZAgYVXpKqwoWQGH15FR4XRsJypXwAWj2ohdDbvw0MaHFn3AXq5Yan7DFCdFJyyY\nJc5izF1INSl8aAjYujW6X5IC78dffRWHPvww7YV69BAquN3bYFBuxvpVbmzbpYHKksNIAc8ZyTuP\nP/44Dh06lG8zmCJkqfmOPGDu7fNvAwDMWjNqjbUIRoK4s/FO/Oe2/zwtFr6+/ut4tedVjLhGEJEi\nEAURK80r0VbbNl3sHYvdY0+r/atc41FtqEajuRFOn3Panse2PrZIV55blprfMMUJCwumMFjsuQux\nwuD6dcBqpc8XLgAjI3SuUIhawsZ0fnquvZ3s2rkzrYX6zOZRGnSe0wCleVrjs6DIG88991y+TWCK\nlKXoO8kGzD204aEZEYPOwU4Y1AaUaEpgUBmgVCgx6Z/E6dHT+Nbt35oWD/OJQMTWeFQbqwEAWqN2\n+nx/tPaPCrJ97HxZin7DFB8sLJjCYD7tXDMh9gn+Rx/RCr++nuouXC7gww/pvbU1rkVr29at8S1a\nUyzU5fEYPT0zu7wGg8A779B3oRDPqlsutLW15dsEpkhZir6TzoA5WQC01bRhzDOGK+NX4A15oRJV\nMKlN2NO8Z3rf+UQg5BqPRnNj3Haz1owB58B0elW60Y9CZSn6DVN8FGPxdkbcf//96OjoiHvt2LED\nb731Vtx+hw8fRkfHzEZTTz75JF555ZW4bd3d3ejo6IDNZovb/uyzz84YVDMwMICOjg709fXFbX/p\npZewf//+uG0ejwcdHR04evRo3PaDBw9i3759M2zbu3dvcV/Hza5Ne3/1K7zV3x/Xtenw//7f6Pja\n17J7HSMjGNBq0fGP/4i+69ep9axKBVy9ipc+/BD7X301uq/JBM/EBDr+5E+SXsdjj+2bnpv3y18C\nH38M/OAHe9HZGf3vYbUCH310GD/5SceMTrcF+d/jJkXvV3wdfB18HQV3Hfse3gf7AC3g5QJq+Tpk\nAVCiKUHIH8KVf7wC70Uv1Ao1fCEfxn3jOHjwIP7To/8pLgKhVWrx8Q8+hue0Z3qad+x1xNZ4AMCv\nf/RrdP+6G06fE0a1ETqlDs8ffB5td7fhrw/9Nb7zwXfwWs9r8Aa9S/6/B1/H8rqOgwcPxq2Ba2pq\n8O1vf3vG/gtBkKTibawkCEIEwH+QJCllUqEgCG0Aurq6uljNFyqjo7Qyr6uLL672+6meYe9eoKoq\nu+eqqgIGBoDBQTpPJAJcuwbcdx/Q0hLd32aj7x5+OGmk4tixaKBFpQLef58aTbW3U1TC5wPefZf2\nvf9+QKtN67AMwzBLjrnSl+weO77zwXfQb+/HiGsEBrUBWqUWDq8DnqAH+3fux5O3P4l+ez+e/ehZ\nNJoboVVqp4/vC/kw4BzA83c9j5bylrhzv9bz2nSEw6w1w+lzwuq24sHWBwEg5XdLpf6CYVLR3d2N\n9vZ2AGiXJKl7occruoiFIAgGQRC2CIIgV92uuvm5Ia+GMZmTy7kL8rnOnKEUJ4UCKCujou5QCOjr\ni2vR+sq776Zs0Zo4HqOkhHaVB1w7nVQf7nAAa9ZERQXAs+qWA4lPrhgmXZaS78S2d5XTl0RBRKO5\nEaIg4u3zb+PNs28CoCLvLdVbcHXiKgRBgFaphS/kgyRRV6hT1lOwe+wzIhAycgQi2ayLPc17sL1+\nO9xBNwacAwhLYTzY+iD2NO+ZEf2oNlaj2lAdF/0oBpaS3zDFS9EJCwC3ATgJoAs0x+IHALoB8MjJ\nYiWXcxcMBqCpCTh/nkSFTgd4vRQ+2L6dFILXS5GSSATdkUjKFq3JxmO0tFA5ht8PXLxIh2ppAaqr\n43/Ls+qWPt3dC37wwyxTloLveINevNbzGr7zwXfw7EfP4tvvfRuv9ryKcl35rAv4O1feiWpjNdSi\nGk6fE5IkobWiFbfW3ApXwDVdD7GrYResbiusLit8IR+sLiusbit2NeyKq4+Q7fi7I3+HU9ZTAICt\n1Vvxt3f+LR7b+hi8Ie/0jI1YzFrz9PmKhaXgN0zxU3TF25Ik/R7FKYiY2cjl3IV164AVKyhPyeGg\n9Kv164HGRhI39903Hdn48RNPpDyMAW4YwmG47Gpo6igcoVRSltX4OGkWuXzj5EnqbKvXk15yuYC7\n72ZhsZT58Y9/nG8TmCJlKfhOYnH1tYlruOS4BIPKgPqS+un9Eguo60x12Fy9GcFwkOofVDroVXpY\nXda4aESyLlMPtj44vT2VHU6fE5/e+BTVxmo8tvWxGTM2ZGaLfhQqS8FvmOKn6IQFs0TJ5dwFiwW4\n5RZKfdLrozlKQ0NkR1XV7Oe+2RrX0NuL9QMmdF5vgtRSCtPmZkx5lejpod2qqymaYbEAn34KHD4M\nCAKJjaYmOn0wyJ2hGIZZWiRr79pgboBRbcSV8SvYWLURepUewMwFfOzMC61SC4WgmI5GPNj64HQ0\nYj5dpuZqM5s4YyO2xqIYu0MxTD7hJ/9MYWEwzL2wz8Y51q8HJicpanHhAlVY/+53VMx96hSt+FMh\nt8YVRWzbLmJX6xgi/Zcw/NkAvF6qtbj1VsqqEkUKigwNUflGJAKsXQusXg0c/9iPE4cdXGjBMMyS\nQu7uFJtepFfpsap0FaYCUxh0Ds6avvTQxofwYOuDCEvhuHqIxGgEQEKkpbwlqQBIZgcwM81pPudj\nGGZ2OGLBLE/kFKt33gHOnSMVsG0bUFMz+/yMhIptFYCd2yPYUjkMt/Mq3Nu+jndClbBYaPf+fuCL\nL6jWwmKhOvGBq2EYbAOo9Ayg90wQW67dgGFrCw+2YBhmSZAqvajOVAd30A2VqJo1fSmdaMRC7EiM\nkmTrfAzDsLBglisqFaVd9fQAtbX0klOiRHF6KF7HI4/g0KGYbsZyxXZdHX10SXD3DsAw1I+qiRtw\nq4MwOO+DS98EyazE4CDVWkQilBZVWgr4LlsxeNGB+lsAh1AOd8gGQzaHATIFQUdHR7zvMEyaFLvv\npEovsnvt2Ld1X9oL+HJ9+YIW+PNNc1ro+fJNsfsNszRgYcEsX9xuKnRInJ9hMlEBuduNp556Kv43\nN2s/ghNunHBUo/czF9yDFhjUW7G+oh7bSrRovvw5fm9Vw7CuEW43iQqPh6IVagQguEbhUBpgi6hh\nNIRhqC0BXBXxE76ZomeG7zBMmiwF35mtuFqn0uVsAZ9ukfdSYCn4DVP8FPWAvHTgAXlLFDlysJAi\nb7ebhuWJIqVCycw1ve7YMRz7xWV0Dq9G5fgFGAUXXAE1RowtKF1lAdwu9N0owUjpely8qoJKDEKU\nIghDgfqqEMrt5+HXmLGm3oe7N9uwc/3E4gwDZBiGyTN2j70g0osKxQ6GKTSyPSCPIxZMcXGzIxN6\ne6PCYv36zOoT5N92dtJUO5OJBkzYbNTqNoVgcW/Yht6SKlQ6LqHcPwSfsRxiVS3s3lp0nTLino1h\n7GocxGeaJvSf8UIVmcL6chtGfSZcOV+OkUgVdq8bw92bJ7Gt5eaAJx5swTBMETDfBXqhpBcVih0M\ns9RhYcEUF3JHpspKSmFyuWYvtp6LDOZnuAMquGvXoKq5Ar3v6DDoKoVrrARXrHqoVWFoQm5Iai28\nIxO4RT8Bl8IEwWiERQxBERxCVWkIT209ivpKPRA2ARNzixmGYZh84g168ebZN9E52AlXwAWj2ohd\nDbumU5sYhmEAbjfLFBMJHZmg0dB7RUU0gjFf5PkZDz9MaUgPP0yfb0Y/3nrrraQ/83qBj09Z8EVg\nHcSgH0bBBV9AwKQTuH5Dgs9SA7/djRIzoFFGoFMHoNBpoDcqMeHVoEe3C8GAND3he9GGATJ5I5Xv\nMMxcFKLvyIPmREFEo7kRoiDi7fNv482zb+bbNOYmheg3zPKDhQVTPMh1FUZj/HaTiaqjFzIPIsX8\njIMHD07/HQwCR44A//APwHvvAYcOAaeHyjGqW4FAABCDflQafLCaWhAqr4Rj2IeT57Q4e0GJY59r\nMDnshk4vQQsveqy1OLHiPyQVM8zSINZ3GGY+FJrvJA6a0yq1qDZWo9pQjc7BTtg99nybyKDw/IZZ\nnrCwYIoHuVDb5Yrfvoj1CW+88cb03ydOAG+8AVy+DDQ0UOtYl0dEz40a2MvXYstdFpRsqINdXYcL\n3W6MT4gY92shKBUwiAEMWUVc6fVgReAyjFe/wPGfXcDoZ1cBtTrrdjP5J9Z3GGY+FJrvpDtojskv\nheY3zPKEayyY4iHDYuts4HbTyAuvl2boabVAYyMFSoJBwFKuwpf2qHDmDHD1YhCXLkVQUxVClec6\nrnmrAaUCXpcEj1OJE5pWeC+WIxiUcGPkKu7uvYB7/2IjBywYhilI0h00xzAMwxELpnhwu4GVK4G2\nNqpLSKxPcLuB0dGFpUTNcurxcfpbp6MgQ0UFjcHw+4HJSWBwEFAqga/udsGo9AJmC5QWE0Qhgim3\nALXkh6RSY0Iow+C4HudHzHi7rxV/+3IV/uYZPzyerJvNMAyzYORBc1a3FVaXFb6QD1aXFVa3Fbsa\ndnG3JYZhpuGIBVP4JGsx29wMtLYCFgut8rPVgjYFBgOlPgEUtVAoSNO43cDYGOBwAHY7sG4dcKbH\niJMXV8CkC0GjM8MhKWFza6CTpqBTReDyajDhUqNEG4RRL0EDP/79PQErmoFvfSsr5jIMw2SV5TRo\njmGYzOGIBVP4yC1mRZFazIoi0NUFXLtGK/5k33d20vb5kCTisW/fvum/V66kiMTwMGmYCxcoFUoW\nGQ4HmdV5XIUxjx6XrEacGzBizKlFICRgMqCHI2DCuEuLcqMf1WV+CJEIykxh6I0KdHbS6ZmlQazv\nMMx8KETf0al0eGzrY3hhzwt4/q7n8cKeF/DY1se41WwBUYh+wyw/OGLBFDaJLWYBajMrSbR9zZrZ\nv9+yZe7ai1mG7n3lK/fi2DH6anKSAiRTU8DVq7SrPLS7qgqwWoGzZwFBAEpKRYzbFNRSVgAUAqBR\nKaBQRBAMSTDrg4gEwhDDIYT1JpSUKOH3U/SDB28vDe699958m8AUKYXsOzxornApZL9hlg8sLJjC\nRm4xW1cXv91kotDB2Njs38tCYTaOHKFXXd2MoXurVz8yPY9P7gQlihS5iEQoC2toiLSMz0fbVCpA\noRARBiCqwhBF0jkagxpCOAivSwHbuAJGnQSjxQC30gidQKKlsjJ7t47JL4888ki+TWCKFPYdJhPY\nb5hCgIUFU9jEtpjVaKLb5RazlZWzfz+bqAgGgY8/Bn7+c/rb4SD10NICSBLcPf3oRTsqKzVxwZCV\nKykNKhSKpkcNDVFzqnCYxIXfT98rFCJCYYpiqNSAKIrwBsNwKYyAUoFQRIRiHFA4Kbgi13EwDMMw\nDMMUG1xjwRQ2clrS2Bit3P1+erfZaHtV1ezfzyYsTpwAfv97EhU1NVQs0dsL9PcDJhPcE0G4x/1x\n8/hCITr0+Dhw6RLQ3U2fh4fp1OEwvcvRi1CI3pXKqO5ZtVrEH96ngsksQqMhbdTWBpjN8y8LYRiG\nYRiGKRRYWDD5YT6tYbdto5ayyVrMpvN9qvP39lLqU1kZKYKSEnoNDgI2GwwWFYbsn8fN4+vvB06f\npsDG9u1UvD00RKlOsoiQJIpQyIgi6ZtAgFKnystJSDzxBPBf/gu9/8f/SKbIZR5M8XP06NF8m8AU\nKew7TCaw3zCFAKdCMblllkLplK1hVSpg507KFZJ/ExuJmOv7ZMTWbjQ0kD2SRKGFkRFgeBiGr34V\nR3/5/6C89iuQJDpNby/9fONGypiyWID33qOAiUZDwsHjIZ0SDkdP5/XSpWs0JEB6e4GvfCXezPmU\nhTCFz4svvojdu3fn2wymCGHfYTKB/YYpBDhiweSWhbSGNRgo9SnVqnuu7xP3lWszWlpI3MgRD5UK\nuPNOYNs2/PrXr08HQwYGKMVpyxZg1SqKXrjdpEV8ProUo5FKO0SRohaCQHpFTo8CaGq31QqcORNv\nUjplIUzx8Prrr+fbBKZIYd9hMoH9hikEOGLB5I65Wsem0xo29ljpRieSIUdKOjvp/KtWURrU8DDw\n5S9TOAGA2ayaDoaMjlKEQq8HLl8mk/V62iYPywPocHJdRWzkQqGgIXoVFUB1NXD+PLBiBX2emqJa\njV27WFgsFfR6fb5NYIoU9h0mE9hvmEKAhQWTO+ZqHZtODlAmqVSpkGswenvp/Ho9RSpaW2fYIg/7\n3rqVUp/6+igCcfUq/VShoHSnQID+BqIdogDST0olRTCmpui1YgX9Rj71XGUhDMMwDMMwhQwLCyZ3\nzNU6Np1H9XIqVWXljJkT2LlzfvbE1mZMTFAI4coVmnKXRLAEg1QfMT4O9PRQepNaTZfS0ABcvEjb\nZDEhp0Kp1XQ4hYIuU6EAbtwAduwAvvGN+FvDMAzDMAxTrHCNBZM75modm07BdWwqlUZD7xUVC2un\nZDAA164BXV0zaj/2P/bY9G4nTgDHj9Ow74oKEgmTk3TaQIBEhNxWVhSjAgMgUSIIgE5Hxd1uN7B6\nNZWEpFsWwhQX+/fvz7cJTJHCvsNkAvsNUwhwxILJLcnSj9LNAcpGKlWq46ao/Wi8+b0bBvT2UhmG\n3FZW1jHhMKU0yVO3jUYSEn5/NIKh01HkYnycREhlJR0rGLwZEFlozQhTcDQ2NubbBKZIYd9hMoH9\nhikEWFgwuSWT1rAy2UilSsYsguXpHTsAtxsTQQPOnKG6CpeLBIJWS4XaHg/tLtdWiCKZV1VFMy4U\nCirwljtINTRQbfipU4BRG8JO5WfZqRlhCoqnn3463yYwRQr7DpMJ7DdMIcCpUEx+mE9r2NjfLCSV\narbjyoIllhjBcv48cP06RRhKS0lUBIPRDlDynIpQKDp9e3CQhIjXS5lWPh9FKm67jeZgqNVAz9vX\n4P7ws8za7zIMwzAMwxQQHLFgiouFpFKlIrH1rMkU1//VDQP6+oD6etqkVlO72MlJwOmkwEIwGO0C\nNTkZra+Qay7CYTpNUxPNw7DZgBJ9EL7zElbu3Ih7N/ihUkqZt99lGIZhGIbJMywsmNyRjTqChaRS\nzWZPCsHyhc6EgY+Ajz8mQeHz0UuhoKiEVkv1E14vbYtEaLsgkKly3YVKRbUVN26Q2AgEgDJtABr4\n0TNSg9L+CexcP0E28AjuJUFfXx/WrVuXbzOYIoR9h8kE9humEGBhwSw+2Zw9IbMQQTGbPQmC5c93\nd+C++w5Bq6VNFgsNuauuphkWLhftrlBE06PkFKlwmMSI0RjtBDU2RvMwgkFg0qdGW4MblXo/egdN\n2NI8BYM2zCO4lwjPPPMMDh06lG8zmCKEfYfJBPYbphDgGgtm8ZFnTxRKHcFs9sTUfrjdQEfHy6iv\nJ90hd4FSqYD+foo6qNWA2RzNYJJ1kiDQu0JBL5WKTiMI0U5RlbUqVLVaYArY4XH44J4MZ6dmhCkI\nXn755XybwBQp7DtMJrDfMIUARyyYxWWWVq55qSOYhz1uN6DVNsJoJPEwMgJ8+CHgcFBtRSBAUYnY\nlKdgkASEJNGhJYlqLsJhilw0NNAsPgD45BPgtH41mgwluKOsH4bx60CpmkdwLxG49SOTKew7TCaw\n3zCFAAsLZnFZrNkTObBHzrYaHQXef5+CGrJIUChIbDid0W5Q8m9EkUQHEB/VWLmSPg8N0QwLrRaw\n2URcDNbA3FEKw5+28hwLhmEYhmGKFk6FYhaXNFq5Fqo9cunFm28CR49S0bZaDUiRMMKhMESEUGoO\nQSWGoVJFu0KFQtGCba2WXgoFYLcF0Xs2BI8nDLudBIbDQTMx3vq1Bm8dq0JQzaKCYRiGYZjihIUF\ns7gs1uyJHNnzf/7PAdhs1PkpHA4j5AsCEQlSOIKxUeotq0QApQYvlMowvN4wRCEMRMLTMy1stjCu\nXAnj7DkFnFMCvF4JU5NhOJ1h+HyULjU8DDz7LHDoULSWgyluDhw4kG8TmCKFfYfJBPYbphDgVChm\n8VmM2ROJzKeV7TzsGRvzQBSBigpgwhZGWAojIikRgQBAgXGfDgqR9EkoEoZSlBCSgEBEhIRwCgME\n3CzBmJ5/IQjApUvAc8/RnIvt23n4drHjkUeyM8w8Yd9hMoH9hikEBEmuMl2iCILQBqCrq6sLbW1t\n+TZneZONORaJLKSVbRr2XLkCPPIIYBsNwzHsx1RAjVAEAITpfUSEIUGAgAgUCgWCkfkGAkUANN/C\naATuuotKQPbuBe68c56HYhiGYRiGSZPu7m60t7cDQLskSd0LPR6nQjG5I6aVa9ZYSCvbOeyRNcfm\nzTezpkIKKIUwgHgxHoaICBSIABmIipjjhCktSqOhTK3f/CaNtCi3m6rLOX+KYRiGYZg8w6lQTPGy\nSK1sE4MgTU1ASYkEu1eAIFCsIlmcT1rg/5wkiVKiKiro72vXSDM0N6dhZDaGDjIMwzAMwywAjlgw\nxYucymQ0xm83maKjruX95vFUPzYIYjTaYDAADSuVMFvC0KpCEBHJ4kWIcZ9KSm52nporQ7HQhg4y\nM7DZbPk2gSlS2HeYTGC/YQoBFhZM8WIwUGHCjRvUC1ZGbh2rVgPHjgGvvx59HTtGT/tTkBgE+ad/\nehxVVXS4gKSBN6xGeJECfSoVUFtLl2Kz0dyLqqo0jNRo6L2iIhrBYPLO448/nm8TmCKFfYfJBPYb\nphBgYcEUJ8EgcOoUMDgI/O53wLvvAqdP03hsm43ylzo7aVT2PJ7qJwZBHnnkOQwOyrMpRBhLVBDm\n/b8aEYmRicRtgkDixWwGvF7SDPfdlyKTK91IDZNXnnvuuXybwBQp7DtMJrDfMIUA11gwC2MxOj2l\ng5wKtHo1nffyZeCzz4DWVtp29izwySc0nU6lohV7efmc9Rex8/M0GqC+vg1HjgD19cDEBA2zm5gQ\nEUmZDRXbYjaZmJiJ0UhzMnbuBNrbycytW2fpxptopEy+hg4ySeEudEymsO8wmcB+wxQCLCyYzMhn\n8XBiKlB1NQmKoSGKYNhs9PRep6OFdm8v/W79eto+PBxffxEjiuTL6OwkDRKJAHY7BTt27AC++IJO\nk5qoeFAoKLVpbAwIBKJ15aEQHVcU6RJaW4E/+RPgT/+U9ptToyUaaTKRqLDZaB4HCwuGYRiGYfJA\nUQoLQRCeBPCXAGoAnALwtCRJXLWaS+SIQWUlpRm5XPQZoEfvi4kcJamri27TaklkHD8ONDTQir6/\nn1b3JSUkOJqbyU61GjhzhoZUJBFFsfPzxsdp9xUrKMgxNR7A8eOyeEgegZCRhYRGQ1pLcTOFSqkk\nUWEyAW1twDe/Cdx77zz1WC6GDjIMwzAMw8yDoquxEARhL4AfAHgWwK0gYfGeIAgVeTVsOZHv4uHY\nVKBY7HZayVdUkNBoaAAmJym64nZTqEHumtHVlbL2QqUibfTww4AovoJHHwV06jAufnAVvcccUEYC\nN08YBlJO16a6CY2GAipVVSQkamqAW2+lydq33gr82Z8BX/taBkGeWCP37qX3nTu51WwB8corr+Tb\nBKZIYd9hMoH9hikEik5YAPg2gH+SJOlnkiT1AfgmAA8AboeQK/JdPCxHGMbGbk6u89O7y0VF23LX\np5YW2s/rpVZLKhWFCIC0RJHBAFy40A2VCnD1D+HX/65A/5gFWg1gUgdm2hWDUkmBkqoquk0aDbB2\nLZ2muhqwWIAHHgC++tUs3ItsDx1kskJ394IHmDLLFPYdJhPYb5hCoKhSmRgWoQAAIABJREFUoQRB\nUAFoB/D38jZJkiRBEN4HsCNvhi03CqF4OFkq0N13UwHD8ePR2oPKShIaW7cCd91FwuHs2ehAPZ+P\nXmo14HBEU6Nu8uijP0bnh3404RouV9Vi0B1GBEAkDLgC8qC8MBLTourr6fTV1XRbnE5qHzsxQSlV\nu3cDX/oSBxiWMj/+8Y/zbQJTpLDvMJnAfsMUAkUlLABUgFZw1oTtVgCtuTdnmVIIxcNyKtCWLfEF\n2MEghQsSBUdsUbnBQCt8h4NqL/x++l1NDQmMm0xnfBl9EOGGwaBAbakPY1NqRBQC9OoQvAHl9Lg8\njYaKsnU6OowgUDG2JFGNxoYNZMI3vpFiPgXDMAzDMEwRU4ypUBlx//33o6OjI+61Y8cOvPXWW3H7\nHT58GB0dHTN+/+STT87IX+zu7kZHR8eMaZfPPvssDhw4ELdtYGAAHR0d6Ovri9v+0ksvYf/+/XHb\nPB4POjo6cPTo0bjtBw8exL59+2bYtnfv3txfh8lEIiISAYaH8dJvf4v9J0/GFQ/n5DpiUoG6u7vR\n8fWvw7Z2bVztwbPvvYcDP/wh/fCmKBo4cgQdP/oR+hwOEiIeDzA5iZeef376v4ec8aUyhfH/ffw8\nnFNHsaLCB7M2BLUYgU7zcwjCPmg1QFlZNMUJ2Au//y2EQqRXSksBj+cwXn21A9u3x4sK9iu+Dr4O\nvg6+Dr4Ovg6+jlxcx8GDB+PWwDU1Nfj2t789Y/+FIEiSlNUDLiY3U6E8AL4uSdKhmO3/AsAsSdIf\nJ/lNG4Curq4u7vG8GORrjsVCmJgADhwArFYSFRoNFXqXllLrpocfBgwGuN00rFsUgfLRXvT+fgRn\nx+th8xkw6RJQonDhRrgWYokJajVpLJOJXs3NdOjhYaof37CBaipy0Y2XYRiGYRgmHbq7u9He3g4A\n7ZIkLbhQp6hSoSRJCgqC0AVgD4BDACAIgnDz8/+fT9uWLcUkKGQCAWpHu3Ej5SlptfTy+6MzLgwG\nGAzAq6924MEHD0EqbUHjdgUmPnXDMww0rwhg9SYDtnxNh9aNpFX0ekqB6usDrl6lIEhTE9VW7Nol\nRzOY5UJHRwcOHTo0944MkwD7DpMJ7DdMIVBUwuImPwTwLzcFxmegLlF6AP+ST6OYIkIWQ6FQtIgb\nSFp8/t3vPgWLBejtVWKstBWr/8iPe6rcaN2sgaXeML1rfX30MPX1xRnIYbLLU089lW8TmCKFfYfJ\nBPYbphAoOmEhSdKbN2dW/B2AagA9AL4qSdJYfi1jioZ5FJ/ff/+9AGJrxDUwGDSpjhx3ChYUy5t7\n77033yYwRQr7DpMJ7DdMIVB0wgIAJEn6CYCf5NsOZhFZ7Ef+85xcXXBCgUMiDMMwDMMUGEUpLJgl\nTDBIE7DlYXVydCHbVc+p2tUWOhMTFGm5do1SuRbr/jAMwzAMw8yTZdNulikQ3G7gyhV6JZvQfeIE\nLZxFEairo/fOTtq+GMwxuTqxzVzeCAaBY8eom9X/+B90P6amKJVrMe8PkzEF4ztM0cG+w2QC+w1T\nCLCwYHJDMAgcOQJ8//vAd79Lr+9/n7YFg7TP9ES6Siqq1mjovaIiGsHIMQcPHsz5OZNy4gTw4YfU\nInfFCsBsBi5epCF/ebw/TGoKxneYooN9h8kE9humEGBhweSGEyeAN94ALl0isVBWBly+TNvkp+1y\n3YDRCPh8lPbj81FxtceTl4XzG2+8kfNzzkAWXCYTDceQh2WUlNDkcLU6b/eHSU1B+A5TlLDvMJnA\nfsMUAlxjwSweslAAgJ4eWvzW1dGiGKBF8uQkfbdlC6UjaTTAyZO03e+nzyYTDYMohhqIxUC+j2Vl\ndD+8Xqqn0OkoYmGzkRhbrveHYRiGYZiCgIUFk13cboo0yFPi3G4gHKbP8jA6GZ2O6gQmJmi/qira\n3tMD1NTQRLmJCYps5FNY5LsDU+zcjYYGil4A9DkYBFwuKt5mYcEwDMMwTB5hYcFkh9huTmfOANev\nA62twC23AE4nMDpKE68tlmj3Iq+XxIbFQotiObpx6630G3lg3dattF1e3OfjmhazQ9VcxM7dKC0F\nVq8moWaz0fTwu+9O2SaXYRiGYRgmV3CNBZMd5G5OoRDVRZjNwI0bwMAApT9t2ECpUAMDlL5jt0fn\nR2zdGhUWfj99vvNO4EtfovdbbyVRkusaghMnsO+//bfcdaiajW3baM5GJEL3TpIoirNyZe5tYdJi\n3759+TaBKVLYd5hMYL9hCgGOWDALJ7abkyhS6lNJCUUcrlwBmpuBTZsoZQcAxm4OSV+9GrjvvujT\ndjnlx+WiAm85bcpmIwGSy2jFzWu6t72dbAGovkGS6FrlmpBcIc/d8PmAoSFg3Tqyy+UisQPQ90zB\nwFNwmUxh32Eygf2GKQRYWDALR65BqKuj9CGHg+oiAIo0VFZSbcDmzcADD0QjD4nzI2JTfiSJiran\npkhY7NqVe2HhduORe+6J324yUaQlNi0rVzUY8gyQ5ubCEDvMrDzyyCP5NoEpUth3mExgv2EKARYW\nzMKJjTSMjlLthM9HbVBFkWou7HbgG9+IFminQo5e9PZGU6V27cp9DUHsNWk00e1y3YfBkPsajFgB\nF0sysRO7f7FMFWcYhmEYpqhhYcEsHHlB/eGHNLStsZGiDEND9GTdbKbUqA0b5j6WnPKzZUv+OzHN\nFT05doy+r6ykxf5ipyWlI3aAwik6ZxiGYRhmWcHF20x22LaNiq59PirArqmh+ok//mPgnnto4R0I\npH88g2FmqlSu2bYNR41GKpgeHqZ3OXqSjynhskAYGyOB4/fTu81G2+V7deQI8N57VEif76LzZczR\no0fzbQJTpLDvMJnAfsMUAhyxYLKDSgXcdRdw7RotaGtr81t8nQ1UKrz4m99g98GD8UJB7lA1n7Sk\nuUhMWxodJQFRWRmfPjZbqlgwCHz8MfDzn0drXRoagJYWrsPIAy+++CJ2796dbzOYIoR9h8kE9hum\nEGBhwWQPg4GiFp2dlK4jCCQqhoeBL3+5KBe0r7/+OommU6fiU4uamylKMVda0lwkpi2pVFSgPTJC\nn00mYMcO4NFH6bizpYodOwb8/vd0zJoaEnjd3YDVShENrzf3s0CWMa+//nq+TWCKFPYdJhPYb5hC\ngFOhmOwiz1sIBGih++mnwOQk0N9Pn4PBfFs4L/R6fXRGR+w8i64u2mGutKS5+Pjj+LSlTz8F3nkH\nGB8HmpoApRI4dIiiELEkporJqVl1dUBZGYmI/n4SRG+9BfzzPwOffUZij8kJer0+3yYwRQr7DpMJ\n7DdMIcDCgsku8hP1NWuiT9t37aKn+vPJ83e7KR0o10PxktmRqpYCANraktdgzEUwCPzbvwH/9E/R\naeWnT9MAwcpKSl1SKimlrLoa+OQTuh+z2el2k20NDcDJk8C5c3QMtZpqXy5dAv71X7NzXxiGYRiG\nYRLgVCgm+7jdwNWrmc1byEVHo/m0YZ2rlmLTJuCOO1IfL1mtxMQE8D//J3XRslqj92hggPZtbqb7\nEAySKCgtpdqVsbHU7XpjO0ZVVVHESK8nsaNSARs30vsnn1BB/VxtfxmGYRiGYeYJRyyY7CMvxo3G\n+O0mE+DxzB6FSJZ2lK2ORsEgpWO9/nr0NUd61v6///vogj2W2FqKZB2sPB6KRjzzDPDd7wJPPw38\n8IfA734HfP/7wC9+QelOKhUt/h0Oeg+FaOaHUhkVUuPjdC8rK1NfW2zHqOvX6fd1dSRaNm8GVq2K\nTuqWJ58zi8r+/fvzbQJTpLDvMJnAfsMUAhyxYLJPuvMWEklMOwKyO1laFi3zmDvRuHo1RRB+/3tK\nJ6qooOsYGqJC9VTX8ZOfAL/9Ldnv91Nk4vPPKbWpvp6EgtlM28fHKSrh99P1jY3R51CI/rZagY6O\n9IcLHj9O734/sHp1NNqSjkBhskZjY2O+TWCKFPYdJhPYb5hCgIUFk33SGS6XjGy3cE08tixaDAYq\nbjYYZhctwSCebm8HvviCCtCvXSMxoNUCCgVw4QJ1b5JTtQASL8ePA7/6FQkRlSpaJ2G30zE0Grom\nhYK2T0zQ3w4HsGIFbZuaon2NRhIVjz46+7XJ90buGBUKAe+/T8f1+0lUpCtQmKzw9NNP59sEpkhh\n32Eygf2GKQRYWDCLw2zzFlKRTqQj3fqIxP3cbhIHbjctsP1+Okd1NS3ek4kWOcJRUgLccgvtc/Ik\niZKdO+l3sVEPgP72+0mwhMO0wPd6aV+1mr5zOqnAemqKtskvpZI6Qa1eTb+trARuvx2wWOh4icxW\nj/Lkk2T3J5+kL1BS3TuGYRiGYZg0YGHBLA6zzVtItXCdLdKxffvMWRLJirpTLbY3bKBC6suXacaD\n3JL19GlayCcuoN1uilQ4nVRU7fdTvYfVGq2n0Gjo5fNR21i1msSAKFJUY3KSFvQTE1RMbbeT0HC5\n6LhmMy36x8cpsmA2AzodHd/lIlFw9ixFPJJdb2xqV3k53acPP6Tvdu4E/uzPqFA72aC9ZOSicJ5h\nGIZhmCULCwtmcYkVD+ksXFNFOkKh9OojUtVReL30fbIn/8lwu4G+PvRduoR1zc0kRBwOWqQLAokJ\npZJmRVy5Ei2Ybm+nDkzr15MgUSho3+FhskEU6T5MTlKBt8dDNRwGA9VvWK30O4DO5fXS8eTrl69X\nTu0qLY0KJrebrs/lIiFlsZCYSDf1KYMaFCY1fX19WLduXb7NYIoQ9h0mE9hvmEKAu0Ixi0fiLIp0\nOj7JkY6HHwb27qX3LVtoAZ9sloQsUuTzpZo5cfo0LbS3bInvwrRlC6VDJXaqcruBoSE8c/IkpRSp\nVLSI12go2gCQTb29FI2oqaHoxBdf0PY/+AOacTE5SQLB76fIQ0MDHUcWF/fcAzz4INlWWkrnunKF\nXvJ+Ph9dh8lE9RvyPb1pIz76CLh4kcTLjRvA0aM0dG8+c0Bmu3ex95hJm2eeeSbfJjBFCvsOkwns\nN0whwBELJvski0w0NdHiN92OT7GRDnmBPFdR92zF33Y7pSpVVwNr19JiXaulp/KRyMyoyvHjgNWK\nlysqaHhdbS19L9djDA/T4l+hoN+3ttL3n39O11NVRduuXo3WWFgsQGMj2TcyQvtptUBfH6VEDQ/T\nQt7vpxSwcJhen31GwkZuRQvQ/RIEmtQ9NUXHVqsprWpsDPjpT4HBQRIn6aQzLWbh/DLl5ZdfzrcJ\nTJHCvsNkAvsNUwiwsGCyT7KUmiNH6An9rl3x+6azcJ2rqBuITqVOtV9pKaUcdXXN3qkqtmC7pQWN\n585FoxDV1XQ9t9xCYkKuXaivp3etloTJ2bN0jIsX6bwOBwmEoSF693ii3Zp6e2lK+YoVdJ6LF0kw\nhMNk0623Uo2GXBtSW0vn+OQTsndoiNK05La2k5OUkuV00r2Ro0LA7OlMye6xz0fHV6lYVGQAt35k\nMoV9h8kE9humEGBhwWSXVLMofD56Km+3xz8Vn2u2hUxNDdDTExUFNhvVNVRVAe+8Q0/qRZFeHk9y\n8bBtGy3+U3WqSrRd7uJUVRWNdjgcwO7dVBStVJKgkesiNBoSJG1twKVLtOCvqaHvR0aiC36TiX4n\nF3nLCALZHQpF06Dcbkq10mrp/imVtF8wSOczm+k3U1O0Xa2m6Igk0d/l5enNAYktnA8Gyb6LF+l6\nN2ygwnku4mYYhmEYZhZYWDDZJVVKTUUFLZaHhmjBm85si9iUqslJepre10cixemkFKOzZ2kxL6c1\n+XzU5am0dKZ4mKtT1dWrJFCamug4AE2snpqi8+l0FPUA6HcmE3VhqqmhVCQ5srBzJ/0td3MqKaHj\ny3UVfj/tr1JR9GN0lGojqqrI9sHBaKRiZISEhSRRlKSiggSLy0WpWFVVdLySEhIaXi99rq8n0QGk\nn84kC6x33gHOnSNRsm0bXR8XcTMMwzAMMwdcvM1kl9iUmlimpoB164Avf5kWyMPD9D7bbIvYYu+G\nBqpZGB+nxXlbGy2wQyESF+PjtI/FQgvuFSuixd87d8Y/aTcYoi1jg0Hg2DHg9deBd9+leoqTJ6eF\nwIHRURITGzYAd91FC/5AIJp6tXUriRc58rJlC20Ph0kMBIO0sG9qig7XW7kS+MpXKAJSVkadpBob\n6bcVFSRgBIFERlMTvUSRhEp5OV2LKNK+CgUJkP5+EgMOB52jvT0aDUk3KqRSkQ0NDcCePcB990WL\n27mIe94cOHAg3yYwRQr7DpMJ7DdMIcARCya7zDV1W26VOtcAtmQpVfJCXRBooez3R9OG5PSnykqK\nNly4QEJgrsV0bD1IczNFJk6eJPEgivDIkZH160m02GzRug6/n4SGJEWLwQWBIh9yClR5OYkAlYqE\nxerVtGAPheha5JoGvR44fz460+LsWTpffT1FI86coWMKAgmryUn6ncNBIsLlirbDLSuLLwKfa+J5\n4n0PhSjiFFunwkXc88bj8eTbBKZIYd9hMoH9hikEWFgw2WeuqdvpTHROllLl89HCWkahIEFRWkqL\nf4+H9tHpKGKQbBEcK2pkG2PFS3s7CYUbNwCTCc+vWUM2NDbSAl1epMsRD5eLfitHB2w2smfzZuDt\nt8kmUaQFf0kJcNtttHC32UhgKJVkg91OaVQrV1Ix95UrVLdhMpEYm5yk4zgctOBfvTragldOT/L5\naL/r10m0pDvxPJZ0pp8zafH888/n2wSmSGHfYTKB/YYpBFhYMOlFEObDbLUM6doCzFzgarW06BcE\nevrf1ESLcpuNFtJnztD+JSXR9qsyyVrg1tTQQryhIbqfUklRiNJSmkVhs1EEYmxsZr3GbJGZbduo\niLqnh0TDxATZYzbPTAEbH6drqq2lKMPly9F6i4YGSue67Taq5zAaScjIx5QL0uX7o9PR8e+7L3rf\n5/PfdK6IEwsLhmEYhmFSwMJiOZPOJOyFMJ9FbTJbQiFa0MsLXJcrmobkctGT/TVraCCcQkH7SxIt\nuru6gDfeAB5/nK4lWQvcnh56lwffycjtadesIXE0OhptLRs7xXq2yEwycQXMFFrHjpH9kQjVoAwN\nUbQEIKFw4wbdm9hzjY/T8TdsIHEUixxZkCMqmTBXxIlhGIZhGCYJLCyWM8kW27no/pMsQpLMlrEx\nWuDLxd56PRVkA5QGNDZGqUtyMbXTSfvX1NDC+/33SRzccUfyFriSRLUYN24kfzqvVsP27ruoiK0t\niBVe6URmErfF/j0xQR2Yrl+na7l2jeywWOia3W6y5fx5qrWIPZd8z3p6KEUqm5GFhUScmGlsNhsq\nKirybQZThLDvMJnAfsMUAiwsliup5k2kM/MgU1JFSDZsSG1LJAI88EB0MS0/iW9vjwqUQIAW34JA\nwkKtpnMFAsDp09QyNtVU6epqoKWF2romPp0/cQKP/+Vf4tAzz8wuvDJdeHd2UienhgYSDidORAvT\nQyGyv6WF6i3k+6VW00yJ2Ba8Fy7QdZhM2Y0ssKBYEI8//jgOHTqUbzOYIoR9h8kE9humEGBhsVxJ\nNW9iMbv/pIqQjI+ntuX6dfrdyMjMqIHBQNvkoXgNDdEULq+Xai3CYfqcqiDZZKLuUfI9kRfTN4XX\ncw89tDjCy+2mCEVJCdVVlJZSNyevl6IvNTU042LNGopmyLbF3sOGBvrdjRskQNLpgsXkjOeeey7f\nJjBFCvsOkwnsN0whwMJiuZLr7j+zRUjkidLJbLFa6bf19fFixOsFNm0iO7dsoVoFuQ7C66Wn+XV1\ntPCuqkqvIDn2mm8Kr7Zbbom/jmwJL3n2hBxx0OupTqS0lLbt2EHXJbe3jRE7Se/hyEjmtjCLQltb\nW75NYIoU9h0mE9hvmEKAB+QtV+Qn/2NjtHj1+6PtVNevXxxh4XZTV6NYTCaKKqxcGW/LjRu04A4E\nSFSUl9Mi2mymRfnPfw787Gc02E6pBO6+m8TE4CD9pq6Oji1fy7ZtJCLSHc4326C/bAiv8+cpGmOx\nULRBFMl+OVqxfv3M/x6z3UOPh4fXMQzDMAyTVzhisZzJZfefuSIku3bR0/ovvoimR2k0JCJKS0lQ\nKJX0lH9ggIRBaSktyI8fB7Zvp8ncp0+TUCktjaZMAfMvSF7MtqtuN9VNrF1LXaDKyymqUlFBnzds\nIJGRav4Hz5hgGIZhGKYAYWGxnFnM7j+JnZ/mWqhbLGSLz0eL63Xr6Mn8+++T2FCraTL24CD9rddT\nfYI826K/n+Y93HFH8muJtSe2ZWwqewFg2za88s47eKKsLLvCSz7Xpk0kmAYHKX2rtJQiLY8+SiIq\nsb0tz5goKl555RU88cQT+TaDKULYd5hMYL9hCgEWFkx2BcVsszHmipDIT/Kbm+l3Ph8NiTt9mn5j\nNNLkaYWCohPyYLjYuofE+Q3BIHDkCB0jFKIC6diWsXPM8uienMQTDz+cXeElH8fno3M1N9PfTiel\ngHV2kq3J5orwjImiobu7m/9PnskI9h0mE9hvmEJAkCQp3zYsKoIgtAHo6urq4sKmXHDsWLRrkdEY\nnUexa1e0RWuqSd+jo8AvfkH1AiMjVGuhUtEi2+mkKMbVq1Rzcdtt9FQfoCf2kQhFLBJFxU9/SlEP\ntZoiHOXlZNedd5I96di7mPepoiIaefj8c/pOnto9my3ZnpbOMAzDMMyyo7u7G+3t7QDQLklS90KP\nxxELJnukOxsj1WLYYCBxcekSpQSVldGT/LExoLEReOwximh0dVHtxVypQB9/TKLCbKYFvNdLEYG6\nOrJnzZrcz/KQSYw8iCIJn9Wr07OFBQXDMAzDMAUGCwsme2RrNoYg0IIaiL6rVPTb1lbadvXq7KlA\nbjcNklMoAJ2OflNSQt85HFTPIM+HyOUsD5nE+ha3m6ZwWyy5t4VhGIZhGCYLFJWwEAThuwC+BmAr\nAL8kSWV5NomJZaFdi2JrJKxWEgAaDQ2Ks9koTUoU6fvmZhIZFkvy405MUOTDaqW0KpOJohaVlXQs\nUaS/891lKXYgX75tYRiGYRiGWQDFNsdCBeBNAP+Yb0OYJCx0NobBQFGFFSuoBuJLX6J3vz8anair\nI1HQ1UWD9VIds6eHvtfpKGrh89Hnc+dozsXmzdHBebPY29HRkf37BJCQGB2Nzp7I9VwRZtFZNN9h\nljzsO0wmsN8whUBRRSwkSXoeAARBeCzftjApWEjXomTtVG02GpS3dm00ZWm22gO5C9SvfkWLczkC\nIIr09+Qk1WrceWda9j711FNZujEx9mXaNYspKrLuO8yygX2HyQT2G6YQKMquUDeFxT+kkwrFXaHy\nRKZdi2IX3h4PdYQaGKABeLHHkaMYe/fGpxKdOgW89x5w8SKlOg0NUcG2xUKfTSbgr/+aOktlw975\nspCuWQzDMAzDMFmEu0IxxUGmi+LEomaAipp9Poo6+Hw0v8LlohayX3xBhdxuN7WfHRykVCqHg6Ia\nra1UWxEI0EA6o3FmgfRC7J0PC+2axTAMwzAMU8DkXVgIgvACgL+aZRcJwHpJki7kyCSmEIhdXLe0\nAG+8QREMuWOUXg9s3Ah0d1NdhsFAYuLcORIPDQ20WAeozmJigr7fti1/i/Zsdc1iGIZhGIYpQAqh\nePv/BbBultd6AJcXepL7778fHR0dca8dO3bgrbfeitvv8OHDSQugnnzySbzyyitx27q7u9HR0QGb\nzRa3/dlnn8WBAwfitg0MDKCjowN9fX1x21966SXs378/bpvH40FHRweOHj0at/3gwYPYt2/fDNv2\n7t27tK/jO9+hD4Iw/f7kRx/hlbfeosF5Z84Ax4+j+9NP0fHpp7CdPk3CYv16IBLBs4cP48D5/9ve\n3QfZVdYHHP/+DC8hEQyQQIwVUVEaiwJZA0giqLQw2iHijG1IrQxg7fhCx6EV1KlTU+0MDfhWmyp2\nRKytJXHGNgqKqQgVQwYDu0UBeQsS3wJINkDICyGbPP3juZfc3dx9O/dmz7l7v5+Znc3ee/bc311+\nnD2/fZ7f8zwAZ575fL/CWN/HqlWr2vc+Lrpo78pPNR+8+mqu+e53B638VPn/HpMlr/bz+2h8zU5+\nH418HxPzPi644IJJ8T4my3+PTnkfq1atmhTvAybHf48qvo/rrrtu0D3w7NmzufTSS/c5vhX2WKia\n6n/dhzwVqr7MbH0q1MaNcMMNeZrT4YfnaVADA3mJ2e3b4Z3vzH0Umzbl0YAzzoCzzhp3GIsXL2bl\nypXte1/Ndtyub/C3P3f61oRre+6oa5g7KsK8URFd3WMRES8FjgBeBkyJiBNrT61PKW0rLzK1zdBV\nk3bv3tu8PXVq/oA83Wnz5tw78dRTsGdP7s94wQvyX//37Nm7stI55xReWantF2lXfuoa/oJXUeaO\nijBvVAUdVVgAnwQax4jrldWbgVsnPhy1TX2E4p578h4Vs2blXoT+fvjNb/Joxamn5mMHBnLTdn9/\nvjmfMSOPAOzenYuNV78azjuvmo3QQ5vTqxafJElSQR1VWKSULgL2nTymztU4QrF5M9x7b57CdNxx\neXrTnDm5efuBB/JqTzNn5obte+/NoxYHH5xHLX772/zcnDn55n369LwBXlVZUEiSpEmmCs3b6mZ3\n3JF7DqZMgSOOyIXGr34FDz2095jXvS43Y+/YkZeW3bgRTjgBjjkmrxCVUv7+p57K+1scfnhpb0eS\nJKlbWVioPEP3dTjssFxcHHRQ3o/i2WfzcTt25KVl3/UueOtb8797evJoxcBALiqmTs0FRr25u02j\nAc1WV5DGwtxRUeaOijBvVAUdNRVKk8zQfR2mTs0jE3ffnYuJLVvy0qz1VZOOOioXDEcckb9vypRc\njBx2WJ4ONTCQn5sypW0hnn322fvG6zQmjcGg3JHGwdxREeaNqsDCQuWp36Bv3ZpHHyD3Uzz9dO6Z\nePLJPK2pcdWk6dPz/hSrV+evZ83Kx+3YkYuSk0/OxzTbbK5AYbBkyZJ9V6qqxzB/fu7nkJpYsmRJ\n2SGoQ5k7KsK8URVYWKg89Rv0227L05jq+zrMmAFveQu89rXNi4B8oPCAAAAOyUlEQVSTToI778y9\nFjt35ibu17wm71Oxa1dearbxe1otDOp9IPWVqrZuzV+De09IkiTVWFioXCPt6zDcTf9dd+WCYuFC\neOSRfNwzz8BPf5qnSy1YMLiwaKUwGNoHAnl0JaX8+Ikn7n0tp0pJkqQuZmGhcg3d16HuueeaFxaN\nN/rHHpuLhPvvz9OnNm6E88/PIxrNjh+tMGhizc03s7CxD6Tu0ENzIbRtW242d6qUhlizZg0LFy4s\nOwx1IHNHRZg3qgJXhVI1HHQQrF8P118PK1bkj7Vr8zSmRvVRgRe+MI9W7NiRb+JPOSX3WPT35xGN\nZsc3OvRQ2L59cDHTxJXLl+eN9/r7Bz/xzDN5dGX69MFL5s6Zkz/fdlt+XF3ryiuvLDsEdShzR0WY\nN6oCCwuVY9s2+N3v9t7Yj/XmvD7NqL8/L0n7ohftXaL2qKPgxS/eO3LQePzWrYPP01gYNLNrF6xd\ny4q3vz3vq3HTTXD77fm8mzblj7lz87GNIyIHH5w/z5w5OA51nRUrVpQdgjqUuaMizBtVgVOhNLGa\nNVK//OV5Q7yxTFdqXBWqvz8XElu25I+5c/MNfX2KUr2oaNYgXl/CdrjColboTJs1C049NRchDz6Y\nRzlOOGFvH8iTTw5eMreucaqU/RZdadq0aWWHoA5l7qgI80ZVYGGhidWskfpHP8qFwYIFg48d7uZ8\n/vy8Ed4vfwmPPZZHLObOzUvVPvXUviMRIzWIN9OsL+O00/bu/n3uuXl0BJovmQujj4hIkiRNMhYW\nmjjDNVLXi4T+/sF/+R/u5vzAA/NytCnBrbfmUYuZM3NR0WwkYmiD+GirNg3duK+uPhrSqOiIiCRJ\n0iRjj4UmznCN1DNn5lGHjRvzDfnOnYP7GIa7OT/jDDjnnFw4PPpo3r9ipJGI6dP37t49koZRiMuu\nvXbv48MVOvPn59fds2dscagrXHbZZWWHoA5l7qgI80ZV4IiFJs5I04aOPx6OOw42bBjbdCUY/0jE\neOKsjUIcc8ghudAZaRRif8WhjnbMMceUHYI6lLmjIswbVUGklMqOYb+KiHlAb29vL/PmzSs7HK1d\nm6cNzZy577Sh00+vziZzjU3m27fnQse9KSRJ0iTS19dHT08PQE9Kqa/V8zlioeKKFAGjNVKXXVDU\nOQohSZI0LhYWGr9mS8aO9a/5nXbDXvX4JEmSKsLmbY1fO3aaHmsjdcnuv//+skNQhzJ3VJS5oyLM\nG1WBhYXGZ+iSsZN8p+nLL7+87BDUocwdFWXuqAjzRlVgYaHxGW7J2EMPzU3Ok6ywWL58edkhqEOZ\nOyrK3FER5o2qwMJC49O4ZGyjSbrTtMv3qShzR0WZOyrCvFEVWFhofOqN2k88Mb7N7CRJkjSpuSqU\nxm+0JWMlSZLUdRyx0PjVl4w9/3xYvDh/Pv30Sblx3LJly8oOQR3K3FFR5o6KMG9UBY5YqLgu2ONh\n+/btZYegDmXuqChzR0WYN6qCSCmVHcN+FRHzgN7e3l7mzZtXdjiSJElSJfT19dHT0wPQk1Lqa/V8\nToWSJEmS1DILC0mSJEkts7CQRrBp06ayQ1CHMndUlLmjIswbVYGFhTSCiy++uOwQ1KHMHRVl7qgI\n80ZVYGEhjWDp0qVlh6AOZe6oKHNHRZg3qgILC2kEriSmoswdFWXuqAjzRlVgYSFJkiSpZRYWkiRJ\nklpmYSGN4Jprrik7BHUoc0dFmTsqwrxRFVhYSCPo62t5E0p1KXNHRZk7KsK8URVESqnsGPariJgH\n9Pb29trYJEmSJNX09fXR09MD0JNSark6dcRCkiRJUsssLCRJkiS1zMJCkiRJUsssLKQRLFq0qOwQ\n1KHMHRVl7qgI80ZVYGEhjeCSSy4pOwR1KHNHRZk7KsK8URW4KpQkSZLUhVwVSpIkSVLlWFhIkiRJ\napmFhTSCVatWlR2COpS5o6LMHRVh3qgKOqawiIiXRcRXIuIXEbE9Ih6KiKURcWDZsWnyWrZsWdkh\nqEOZOyrK3FER5o2q4ICyAxiH3wcCeC/wMHAC8BVgGnB5iXFpEps1a1bZIahDmTsqytxREeaNqqBj\nCouU0mpgdcNDGyLi08D7sLCQJEmSStUxU6GGMQPYXHYQkiRJUrfr2MIiIo4DLgGuLjsWSZIkqduV\nPhUqIq4APjLCIQmYm1J6sOF7XgLcCKxMKX11lJeYCnDfffe1Gqq60Lp16+jra3m/GHUhc0dFmTsq\nwrxREQ33x1Pbcb7Sd96OiCOBI0c57BcppYHa8XOAW4C1KaWLxnD+PwO+0XKgkiRJ0uT0rpTSf7Z6\nktILi/GojVTcDNwBvDuNIfha4XIOsAF4dr8GKEmSJHWOqcCxwOqUUn+rJ+uYwqI2UvEj4BHgQmB3\n/bmU0uMlhSVJkiSJCvRYjMMfAa+offy69liQezCmlBWUJEmSpA4asZAkSZJUXR273KwkSZKk6uiq\nwiIiNkTEnoaP3RHhrt3aR0R8MCIeiYgdEXF7RMwvOyZVW0R8Ysj1ZU9E/LzsuFQ9EfHGiPhORPy2\nlieLmhzzyYjYGBHbI+IHtb2b1OVGy52IuLbJdeh7ZcWraoiIj0XEuojYEhGPR8R/R8SrmxzX8nWn\nqwoLcj/Gx4GjgdnAi4F/LjUiVU5ELAY+A3wCOBn4KbA6ImaWGpg6wT3svb7MBhaWG44qajpwF/AB\n8u+lQSLiI+QNYP8SOAXYRr4GHTSRQaqSRsydmhsZfB1aMjGhqcLeSL7fPRX4Q+BA4H8i4pD6Ae26\n7nRS83a7bE0pPVF2EKq0S4Evp5S+DhAR7wP+GLgYuLLMwFR5A15fNJqU0veB7wNERDQ55EPAp1JK\nN9SOuQB4HDgP+OZExanqGUPuAOz0OqRGKaW3NX4dERcCvwN6gDW1h9ty3em2EQuAj0bEpojoi4gP\nR4QrSul5EXEg+X+0H9Yfq+2XchPwhrLiUsd4VW2KwsMR8R8R8dKyA1JniYiXk//K3HgN2gL8BK9B\nGps31aa73B8RX4yII8oOSJUzgzzitRnae93pthGLfwL6yD/I04F/JP8gP1xmUKqUmeTli4fujfI4\ncPzEh6MOcjt5j50HyNMslwK3RsQJKaVtJcalzjKb/Au/2TVo9sSHow5zI/At8p5frwSuAL4XEW8Y\ny6bCmvxqI12fB9aklOp9gG277nR8YRERVwAfGeGQBMxNKT2YUvp8w+P3RMRzwJcj4mMppV37NVBJ\nk1pKaXXDl/dExDrgl8CfAteWE5WkbpJSapyycm9E3A08DLwJuKWUoFQ1XwReAyzYHyfv+MIC+DSj\n/9L+xTCPryP/DI4FHmpjTOpcm8i7uh895PGjgccmPhx1qpTS0xHxIOBqPhqPx8ibvx7N4L8eHg38\nXykRqWOllB6JiE3k65CFRZeLiOXA24A3ppQebXiqbdedju+xSCn110YjRvoYGObbTwb2kBtYJGoj\nV73AWfXHasOGZwFry4pLnSciXkj+Zf7oaMdKdSmlR8i/5BuvQYeRV3PxGqRxiYjfA47E61DXqxUV\nbwfenFL6VeNz7bzuTIYRizGJiNPIP6BbgGfIPRafBf49pfR0mbGpcj4LfC0iesmjWpcC04CvlRmU\nqi0irgKuJ09/egnw98Au4Loy41L1RMR0ctFZX9XnFRFxIrA5pfRr8vznj0fEemAD8CngN8C3SwhX\nFTJS7tQ+PkHusXisdtwy4EFg9b5nU7eIiC+Slx1eBGyLiPqsjKdTSs/W/t2W6050Sy9PRJxMnld2\nPHAwubHp68Dn7K/QUBHxAeBy8jDgXcBfpZTuLDcqVVlEXEdeK/xI4AnyEn5/W/tLkPS8iDiT/Eeu\nob+A/y2ldHHtmKXk9eRnAD8GPphSWj+Rcap6Rsod8t4Wq4CTyHmzkVxQ/J3Lz3a3iNhD831PLqov\nrV87biktXne6prCQJEmStP90fI+FJEmSpPJZWEiSJElqmYWFJEmSpJZZWEiSJElqmYWFJEmSpJZZ\nWEiSJElqmYWFJEmSpJZZWEiSJElqmYWFJEmSpJZZWEiSxiUizoyIPRFxWJXOVzvHonbEJEkaPwsL\nSVJTEXFaRAxExPVNnk5tfrl2n0+SNMEsLCRJw3kP8AXgjIiYXXYwkqRqs7CQJO0jIqYDi4EvAd8F\nLhzl+AURcUtEbIuIzRFxY0S8qPbcQRHxhYh4PCJ2RMSPI+L1TU7z+oi4o3aO2yLiVUNe4/0RsT4i\ndkbEfRHx5+15t5KkdrCwkCQ1sxi4L6X0EPAN8uhFUxFxEnATcA9wGvAG4NvAlNohVwHvAN4NnAys\nB1ZHxIzG0wD/AFwK9AADwFcbXuMdwOdr5/oD4F+BayPizFbfqCSpPSIlp7VKkgaLiDXAipTS8oiY\nAmwE/iSldGvtZv5m4PCU0paI+Abw0pTSGU3OMw14ErggpbSy9tgBwAbgcymlzzSc76yU0v/Wjnkr\ncANwSErpuVo8d6eU3t9w7pXAtJTSubWv9wDnpZS+s19+KJKkETliIUkaJCKOB04BVgCklHYD32T4\nUYuTgB8O89wrgQOAtfUHUkoDwDpg7pBj727496O1z0fVPs9tPEfNbU3OIUkqyQFlByBJqpz3kKcx\nPRoRjY/vjIhLmhy/o02vu6vh3/XhdP8AJkkdwgu2JOl5tWlP7wb+GjhxyMdGYEmTb/sZcNYwp3yY\nXDAsaHiNA4D5wL3jCO2+xnPULAB+Po5zSJL2I0csJEmNzgVmAF9NKT3T+ERE/BfwF8Bl5GbruiuA\nn0XEvwBXkwuJNwHfTCltjogvAVdFxJPAr4HLgUNoaM4ecr5mj10FrIyIu8iN4ovIDeHDFTSSpAnm\niIUkqdHFwA+GFhU13yKv2PRaGja0q60cdTbwOuAn5N6HReSVnQA+WvverwN3Aq8Azk4pPd1w7mYr\niTS+xreBDwF/Q1596r3AhSmlH49yDknSBHFVKEmSJEktc8RCkiRJUsssLCRJkiS1zMJCkiRJUsss\nLCRJkiS1zMJCkiRJUsssLCRJkiS1zMJCkiRJUsssLCRJkiS1zMJCkiRJUsssLCRJkiS1zMJCkiRJ\nUsssLCRJkiS17P8BQQ3yiCs3jywAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e8845279e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "def plot():\n",
    "    plt.figure(figsize=(8,6))\n",
    "    #画出原始图\n",
    "    plt.scatter(df['Alcohol'], df['Malic acid'], \n",
    "            color='green', label='input scale', alpha=0.5)\n",
    "    #画出标准化\n",
    "    plt.scatter(df_std[:,0], df_std[:,1], color='red', \n",
    "            label='Standardized [$N  (\\mu=0, \\; \\sigma=1)$]', alpha=0.3)\n",
    "    #画出归一化\n",
    "    plt.scatter(df_minmax[:,0], df_minmax[:,1], \n",
    "            color='blue', label='min-max scaled [min=0, max=1]', alpha=0.3)\n",
    "\n",
    "    plt.title('Alcohol and Malic Acid content of the wine dataset')\n",
    "    plt.xlabel('Alcohol')\n",
    "    plt.ylabel('Malic Acid')\n",
    "    plt.legend(loc='upper left')\n",
    "    plt.grid()\n",
    "    \n",
    "    plt.tight_layout()\n",
    "\n",
    "plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们将原始的和变换后都放到了同一个图上，观察下结果吧！接下来我们再看看数据是否被打乱了呢？"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JlhsQQtQl6zSJeq1du5asrCwcDgf33XcfaWlplJWVsXHjRmbPns2uXbt4+eWX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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e884a7a940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(3, figsize=(6,14))\n",
    "\n",
    "for a,d,l in zip(range(len(ax)), \n",
    "               (df[['Alcohol', 'Malic acid']].values, df_std, df_minmax),\n",
    "               ('Input scale', \n",
    "                'Standardized [$N  (\\mu=0, \\; \\sigma=1)$]', \n",
    "                'min-max scaled [min=0, max=1]')\n",
    "                ):\n",
    "    for i,c in zip(range(1,4), ('red', 'blue', 'green')):\n",
    "        ax[a].scatter(d[df['Class label'].values == i, 0], \n",
    "                  d[df['Class label'].values == i, 1],\n",
    "                  alpha=0.5,\n",
    "                  color=c,\n",
    "                  label='Class %s' %i\n",
    "                  )\n",
    "    ax[a].set_title(l)\n",
    "    ax[a].set_xlabel('Alcohol')\n",
    "    ax[a].set_ylabel('Malic Acid')\n",
    "    ax[a].legend(loc='upper left')\n",
    "    ax[a].grid()\n",
    "    \n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 测试做数据预处理其实将原始数据区间缩短，但是数据分布不变【其实简单的说就是原始数据按照比例缩小，得出分析结果都是比例一致，最后预测结果在做还原】\n",
    "在机器学习中，如果我们对训练集做了上述处理，那么同样的对测试集也必须要经过相同的处理\n",
    "<pre>\n",
    "std_scale = preprocessing.StandardScaler().fit(X_train)\n",
    "X_train = std_scale.transform(X_train)\n",
    "X_test = std_scale.transform(X_test)\n",
    "</pre>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 标准化处理对PCA主成分分析的影响"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "主成分分析（PCA）和一个非常有用的套路，接下来，咱们来看看数据经过标准化处理和未经标准化处理后使用PCA的效果\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reading in the dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>11</th>\n",
       "      <th>12</th>\n",
       "      <th>13</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>14.23</td>\n",
       "      <td>1.71</td>\n",
       "      <td>2.43</td>\n",
       "      <td>15.6</td>\n",
       "      <td>127</td>\n",
       "      <td>2.80</td>\n",
       "      <td>3.06</td>\n",
       "      <td>0.28</td>\n",
       "      <td>2.29</td>\n",
       "      <td>5.64</td>\n",
       "      <td>1.04</td>\n",
       "      <td>3.92</td>\n",
       "      <td>1065</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>13.20</td>\n",
       "      <td>1.78</td>\n",
       "      <td>2.14</td>\n",
       "      <td>11.2</td>\n",
       "      <td>100</td>\n",
       "      <td>2.65</td>\n",
       "      <td>2.76</td>\n",
       "      <td>0.26</td>\n",
       "      <td>1.28</td>\n",
       "      <td>4.38</td>\n",
       "      <td>1.05</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>13.16</td>\n",
       "      <td>2.36</td>\n",
       "      <td>2.67</td>\n",
       "      <td>18.6</td>\n",
       "      <td>101</td>\n",
       "      <td>2.80</td>\n",
       "      <td>3.24</td>\n",
       "      <td>0.30</td>\n",
       "      <td>2.81</td>\n",
       "      <td>5.68</td>\n",
       "      <td>1.03</td>\n",
       "      <td>3.17</td>\n",
       "      <td>1185</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>14.37</td>\n",
       "      <td>1.95</td>\n",
       "      <td>2.50</td>\n",
       "      <td>16.8</td>\n",
       "      <td>113</td>\n",
       "      <td>3.85</td>\n",
       "      <td>3.49</td>\n",
       "      <td>0.24</td>\n",
       "      <td>2.18</td>\n",
       "      <td>7.80</td>\n",
       "      <td>0.86</td>\n",
       "      <td>3.45</td>\n",
       "      <td>1480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>13.24</td>\n",
       "      <td>2.59</td>\n",
       "      <td>2.87</td>\n",
       "      <td>21.0</td>\n",
       "      <td>118</td>\n",
       "      <td>2.80</td>\n",
       "      <td>2.69</td>\n",
       "      <td>0.39</td>\n",
       "      <td>1.82</td>\n",
       "      <td>4.32</td>\n",
       "      <td>1.04</td>\n",
       "      <td>2.93</td>\n",
       "      <td>735</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   0      1     2     3     4    5     6     7     8     9     10    11    12  \\\n",
       "0   1  14.23  1.71  2.43  15.6  127  2.80  3.06  0.28  2.29  5.64  1.04  3.92   \n",
       "1   1  13.20  1.78  2.14  11.2  100  2.65  2.76  0.26  1.28  4.38  1.05  3.40   \n",
       "2   1  13.16  2.36  2.67  18.6  101  2.80  3.24  0.30  2.81  5.68  1.03  3.17   \n",
       "3   1  14.37  1.95  2.50  16.8  113  3.85  3.49  0.24  2.18  7.80  0.86  3.45   \n",
       "4   1  13.24  2.59  2.87  21.0  118  2.80  2.69  0.39  1.82  4.32  1.04  2.93   \n",
       "\n",
       "     13  \n",
       "0  1065  \n",
       "1  1050  \n",
       "2  1185  \n",
       "3  1480  \n",
       "4   735  "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "df = pd.read_csv(\n",
    "    '../data/wine_data.csv', \n",
    "    header=None,\n",
    "    )\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dividing the dataset into a separate training and test dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this step, we will randomly divide the wine dataset into a training dataset and a test dataset where the training dataset will contain 70% of the samples and the test dataset will contain 30%, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_wine = df.values[:,1:]\n",
    "y_wine = df.values[:,0]\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X_wine, y_wine,\n",
    "    test_size=0.30, random_state=12345)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Feature Scaling - Standardization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn import preprocessing\n",
    "\n",
    "std_scale = preprocessing.StandardScaler().fit(X_train)\n",
    "X_train_std = std_scale.transform(X_train)\n",
    "X_test_std = std_scale.transform(X_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 使用PCA进行降维"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "现在，我们在标准化和非标准化数据集上执行PCA，将数据集转换成二维特征子空间。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "# on non-standardized data\n",
    "pca = PCA(n_components=2).fit(X_train)\n",
    "X_train = pca.transform(X_train)\n",
    "X_test = pca.transform(X_test)\n",
    "\n",
    "\n",
    "# om standardized data\n",
    "pca_std = PCA(n_components=2).fit(X_train_std)\n",
    "X_train_std = pca_std.transform(X_train_std)\n",
    "X_test_std = pca_std.transform(X_test_std)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "来看看效果咋样吧"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gEZGmwBTgRmBskuX4jlSyv/Eg3dIL6ZnmADt22BZmdzkyM9P25tq2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\n/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JclNboM50nAf2valsUhlee1qwsOHoQ1a1R7Kodjx+DuuzOHX0ciqqhYT49apFR9oYNB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\n61wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e885abdf60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(ncols=2, figsize=(10,4))\n",
    "\n",
    "\n",
    "for l,c,m in zip(range(1,4), ('blue', 'red', 'green'), ('^', 's', 'o')):\n",
    "    ax1.scatter(X_train[y_train==l, 0], X_train[y_train==l, 1],\n",
    "        color=c, \n",
    "        label='class %s' %l, \n",
    "        alpha=0.5,\n",
    "        marker=m\n",
    "        )\n",
    "\n",
    "for l,c,m in zip(range(1,4), ('blue', 'red', 'green'), ('^', 's', 'o')):\n",
    "    ax2.scatter(X_train_std[y_train==l, 0], X_train_std[y_train==l, 1],\n",
    "        color=c, \n",
    "        label='class %s' %l, \n",
    "        alpha=0.5,\n",
    "        marker=m\n",
    "        )\n",
    "\n",
    "ax1.set_title('Transformed NON-standardized training dataset after PCA')    \n",
    "ax2.set_title('Transformed standardized training dataset after PCA')    \n",
    "    \n",
    "for ax in (ax1, ax2):\n",
    "\n",
    "    ax.set_xlabel('1st principal component')\n",
    "    ax.set_ylabel('2nd principal component')\n",
    "    ax.legend(loc='upper right')\n",
    "    ax.grid()\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 直观上，可以清晰的看到经过标准化的数据可分性更强的"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
